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Finding the Fourth Proportional to 721.92, 1,082.34 and 310.71

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Solution

The fourth proportional to 721.92, 1,082.34 and 310.71 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,082.34 = 310.71 : x
  2. Step 2: Convert to fraction form
    721.92/1,082.34 = 310.71/x
  3. Step 3: Cross multiply
    721.92x = 1,082.34 × 310.71
  4. Step 4: Simplify right side
    721.92x = 336,293.86
  5. Step 5: Solve for x
    x = 336,293.86/721.92
  6. Step 6: Final answer
    x = 465.83

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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.