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Finding the Fourth Proportional to 981.92, 1,472.82 and 404.78

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Solution

The fourth proportional to 981.92, 1,472.82 and 404.78 is: 607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.92 : 1,472.82 = 404.78 : x
  2. Step 2: Convert to fraction form
    981.92/1,472.82 = 404.78/x
  3. Step 3: Cross multiply
    981.92x = 1,472.82 × 404.78
  4. Step 4: Simplify right side
    981.92x = 596,168.08
  5. Step 5: Solve for x
    x = 596,168.08/981.92
  6. Step 6: Final answer
    x = 607.15

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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.