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Finding the Fourth Proportional to 721.09, 1,082.00 and 477.55

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Solution

The fourth proportional to 721.09, 1,082.00 and 477.55 is: 716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.09 : 1,082.00 = 477.55 : x
  2. Step 2: Convert to fraction form
    721.09/1,082.00 = 477.55/x
  3. Step 3: Cross multiply
    721.09x = 1,082.00 × 477.55
  4. Step 4: Simplify right side
    721.09x = 516,704.01
  5. Step 5: Solve for x
    x = 516,704.01/721.09
  6. Step 6: Final answer
    x = 716.56

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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.