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Finding the Fourth Proportional to 1,006.14, 1,508.72 and 420.97

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Solution

The fourth proportional to 1,006.14, 1,508.72 and 420.97 is: 631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,508.72 = 420.97 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,508.72 = 420.97/x
  3. Step 3: Cross multiply
    1,006.14x = 1,508.72 × 420.97
  4. Step 4: Simplify right side
    1,006.14x = 635,125.86
  5. Step 5: Solve for x
    x = 635,125.86/1,006.14
  6. Step 6: Final answer
    x = 631.25

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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.