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Finding the Fourth Proportional to 721.53, 1,082.70 and 567.45

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Solution

The fourth proportional to 721.53, 1,082.70 and 567.45 is: 851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 1,082.70 = 567.45 : x
  2. Step 2: Convert to fraction form
    721.53/1,082.70 = 567.45/x
  3. Step 3: Cross multiply
    721.53x = 1,082.70 × 567.45
  4. Step 4: Simplify right side
    721.53x = 614,378.12
  5. Step 5: Solve for x
    x = 614,378.12/721.53
  6. Step 6: Final answer
    x = 851.49

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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.