Final answer:
Dynein is the motor protein responsible for pulling the Golgi apparatus toward the nucleus as a cell grows.
Step-by-step explanation:
As a cell grows, the microtubule-associated protein that pulls the Golgi apparatus inward toward the nucleus is dynein. Dynein is a motor protein that moves along microtubules in cells, using the energy from ATP hydrolysis to power the movement of cargo, which includes not just the Golgi apparatus but also vesicles and organelles. In particular, during cell division, dynein is involved in the movement of chromosomes and the elongation of the cell as the polar microtubules slide against each other. This process is essential for ensuring organelles are properly distributed within the dividing cells.