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Finding the Fourth Proportional to 721.82, 1,082.86 and 310.88

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Solution

The fourth proportional to 721.82, 1,082.86 and 310.88 is: 466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.82 : 1,082.86 = 310.88 : x
  2. Step 2: Convert to fraction form
    721.82/1,082.86 = 310.88/x
  3. Step 3: Cross multiply
    721.82x = 1,082.86 × 310.88
  4. Step 4: Simplify right side
    721.82x = 336,639.52
  5. Step 5: Solve for x
    x = 336,639.52/721.82
  6. Step 6: Final answer
    x = 466.38

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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.