맞추다 is bringing two things into line: living on New York time, coordinating with French and German firms, or fitting yourself to what other people want. It also covers getting an answer right, which is matching your guess to the real answer — that is what the quiz line and the mouth-watching line mean. The -고 in front attaches whatever came just before. Do not confuse it with 맞다, which is the plain 'that's correct' rather than the act of matching.