What is the term for a hoist when it is hoisted three-fourths of the way up toward the point of the hoist?

The term that describes a hoist raised three-fourths of the way up toward the point of the hoist is "At the dip." This is a specific flag signaling term that indicates the flag is not completely raised to the top but is being displayed at an intermediate position. When a flag is at the dip, it is signaling a particular message, often of respect or mourning, particularly when displayed for military observance.

The other options reflect different states of flag position. "Half-mast" indicates a flag that is positioned halfway between the top and bottom of the flagpole, typically used to commemorate the deceased. "Fully hoisted" refers to the flag being raised all the way to the top of the flagpole, signifying normal operational status. "Low hoist" may suggest a flag raised but not fully, but is not the standard terminology used to describe a flag at three-fourths height. Thus, "At the dip" is indeed the most accurate term for this situation.