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Finding the Fourth Proportional to 715.67, 1,073.87 and 542.27

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Solution

The fourth proportional to 715.67, 1,073.87 and 542.27 is: 813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.67 : 1,073.87 = 542.27 : x
  2. Step 2: Convert to fraction form
    715.67/1,073.87 = 542.27/x
  3. Step 3: Cross multiply
    715.67x = 1,073.87 × 542.27
  4. Step 4: Simplify right side
    715.67x = 582,327.48
  5. Step 5: Solve for x
    x = 582,327.48/715.67
  6. Step 6: Final answer
    x = 813.68

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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.