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Finding the Fourth Proportional to 737.68, 1,105.32 and 477.04

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Solution

The fourth proportional to 737.68, 1,105.32 and 477.04 is: 714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.68 : 1,105.32 = 477.04 : x
  2. Step 2: Convert to fraction form
    737.68/1,105.32 = 477.04/x
  3. Step 3: Cross multiply
    737.68x = 1,105.32 × 477.04
  4. Step 4: Simplify right side
    737.68x = 527,281.85
  5. Step 5: Solve for x
    x = 527,281.85/737.68
  6. Step 6: Final answer
    x = 714.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.