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Finding the Fourth Proportional to 715.92, 1,074.24 and 542.53

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Solution

The fourth proportional to 715.92, 1,074.24 and 542.53 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 1,074.24 = 542.53 : x
  2. Step 2: Convert to fraction form
    715.92/1,074.24 = 542.53/x
  3. Step 3: Cross multiply
    715.92x = 1,074.24 × 542.53
  4. Step 4: Simplify right side
    715.92x = 582,807.43
  5. Step 5: Solve for x
    x = 582,807.43/715.92
  6. Step 6: Final answer
    x = 814.07

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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.