An interesting thread and not one we come across very often. To me a good multilingual SEO goes beyond the ability to natively write good titles/meta tags but extends to gaining an exposure to the idiosyncrasies of languages and using it to your advantage in marketing online campaigns.

Beyond acquiring fluency in a language, what is of real value is being able to transfer the social fluid that drives local culture at a country/regional level. Once you understand how a particular population's intents in search differ between cultures; let's say between german speaking austrians and those that originate from germany per se, that arms you with true insight into their patterns of intent online.

I don't believe that you need a degree in languages to be successful in multilingual SEO, what you do need is a passion for languages, but your most important asset is what other skills you bring to the job. The stark reality of successful SEO's is that they are multi-skilled, you need a good understanding of usability, marketing, common business sense, persuasion and technical aptitude in order to really have that all encompassing view on digital marketing.

Don't forfeit your business management degree quite yet, if you love languages its with you regardless.

For the record I began my SEO career with Andy on the technical front where I'd spend countless hours debating and admiring the splendor of the SEO minds there. (Johann you are mainly responsible for this, and any gray hairs that will result of it!!!!) In a true web development mindset the initial temptation was to resist but the up-side was all too evident and it still tickles me to this day when i am driven up the wall by the incomprehension of some web developers out there. Did i mention digg? ;-)
Since i was fortunate enough to have grown up in cosmopolitan Belgium in a family that i lovingly describe as a mix bag i've acquired a command of French, Dutch, Spanish, Italian, a smidgen of Arabic and that boring olde English. I'm now living it up in New York's SEO mecca scratching my head at Microsoft, and in part embracing it.

Good Luck!