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Finding the Fourth Proportional to 724.71, 1,082.94 and 708.30

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Solution

The fourth proportional to 724.71, 1,082.94 and 708.30 is: 1,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.71 : 1,082.94 = 708.30 : x
  2. Step 2: Convert to fraction form
    724.71/1,082.94 = 708.30/x
  3. Step 3: Cross multiply
    724.71x = 1,082.94 × 708.30
  4. Step 4: Simplify right side
    724.71x = 767,046.40
  5. Step 5: Solve for x
    x = 767,046.40/724.71
  6. Step 6: Final answer
    x = 1,058.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.