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Finding the Fourth Proportional to 938.13, 1,294.61 and 524.13

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Solution

The fourth proportional to 938.13, 1,294.61 and 524.13 is: 723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.13 : 1,294.61 = 524.13 : x
  2. Step 2: Convert to fraction form
    938.13/1,294.61 = 524.13/x
  3. Step 3: Cross multiply
    938.13x = 1,294.61 × 524.13
  4. Step 4: Simplify right side
    938.13x = 678,543.94
  5. Step 5: Solve for x
    x = 678,543.94/938.13
  6. Step 6: Final answer
    x = 723.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.