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Finding the Fourth Proportional to 625.06, 938.82 and 539.14

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Solution

The fourth proportional to 625.06, 938.82 and 539.14 is: 809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.06 : 938.82 = 539.14 : x
  2. Step 2: Convert to fraction form
    625.06/938.82 = 539.14/x
  3. Step 3: Cross multiply
    625.06x = 938.82 × 539.14
  4. Step 4: Simplify right side
    625.06x = 506,155.41
  5. Step 5: Solve for x
    x = 506,155.41/625.06
  6. Step 6: Final answer
    x = 809.77

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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.