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Finding the Fourth Proportional to 721.87, 1,082.87 and 310.92

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Solution

The fourth proportional to 721.87, 1,082.87 and 310.92 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.87 : 1,082.87 = 310.92 : x
  2. Step 2: Convert to fraction form
    721.87/1,082.87 = 310.92/x
  3. Step 3: Cross multiply
    721.87x = 1,082.87 × 310.92
  4. Step 4: Simplify right side
    721.87x = 336,685.94
  5. Step 5: Solve for x
    x = 336,685.94/721.87
  6. Step 6: Final answer
    x = 466.41

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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.