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Finding the Fourth Proportional to 916.50, 1,264.77 and 496.85

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Solution

The fourth proportional to 916.50, 1,264.77 and 496.85 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.50 : 1,264.77 = 496.85 : x
  2. Step 2: Convert to fraction form
    916.50/1,264.77 = 496.85/x
  3. Step 3: Cross multiply
    916.50x = 1,264.77 × 496.85
  4. Step 4: Simplify right side
    916.50x = 628,399.05
  5. Step 5: Solve for x
    x = 628,399.05/916.50
  6. Step 6: Final answer
    x = 685.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.