Final answer:
The word 'behoove' means to be appropriate or necessary, often in the sense of a moral or social obligation.
Step-by-step explanation:
The word 'behoove' means be appropriate or necessary. It is used to indicate that it is fitting, proper, or advantageous for someone to do something, often due to a moral, practical, or social obligation. For example, in the context of the quote provided, 'as shall be thought most meet and convenient for the general good of the Colony: unto which we promise all due submission and obedience,' using 'behoove' might suggest that it is necessary or proper for the members of the Colony to act in a way that is considered best for the general welfare of the community, to which they promise loyalty and compliance.