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Finding the Fourth Proportional to 721.78, 1,082.97 and 310.84

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Solution

The fourth proportional to 721.78, 1,082.97 and 310.84 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.78 : 1,082.97 = 310.84 : x
  2. Step 2: Convert to fraction form
    721.78/1,082.97 = 310.84/x
  3. Step 3: Cross multiply
    721.78x = 1,082.97 × 310.84
  4. Step 4: Simplify right side
    721.78x = 336,627.69
  5. Step 5: Solve for x
    x = 336,627.69/721.78
  6. Step 6: Final answer
    x = 466.39

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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.