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Finding the Fourth Proportional to 942.14, 1,411.08 and 502.61

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Solution

The fourth proportional to 942.14, 1,411.08 and 502.61 is: 752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,411.08 = 502.61 : x
  2. Step 2: Convert to fraction form
    942.14/1,411.08 = 502.61/x
  3. Step 3: Cross multiply
    942.14x = 1,411.08 × 502.61
  4. Step 4: Simplify right side
    942.14x = 709,221.92
  5. Step 5: Solve for x
    x = 709,221.92/942.14
  6. Step 6: Final answer
    x = 752.78

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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.