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Finding the Fourth Proportional to 924.92, 1,387.13 and 456.17

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Solution

The fourth proportional to 924.92, 1,387.13 and 456.17 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.92 : 1,387.13 = 456.17 : x
  2. Step 2: Convert to fraction form
    924.92/1,387.13 = 456.17/x
  3. Step 3: Cross multiply
    924.92x = 1,387.13 × 456.17
  4. Step 4: Simplify right side
    924.92x = 632,757.88
  5. Step 5: Solve for x
    x = 632,757.88/924.92
  6. Step 6: Final answer
    x = 684.12

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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.