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Finding the Fourth Proportional to 1,006.92, 1,508.67 and 458.10

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Solution

The fourth proportional to 1,006.92, 1,508.67 and 458.10 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.92 : 1,508.67 = 458.10 : x
  2. Step 2: Convert to fraction form
    1,006.92/1,508.67 = 458.10/x
  3. Step 3: Cross multiply
    1,006.92x = 1,508.67 × 458.10
  4. Step 4: Simplify right side
    1,006.92x = 691,121.73
  5. Step 5: Solve for x
    x = 691,121.73/1,006.92
  6. Step 6: Final answer
    x = 686.37

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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.