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Finding the Fourth Proportional to 724.21, 1,082.05 and 717.73

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Solution

The fourth proportional to 724.21, 1,082.05 and 717.73 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.21 : 1,082.05 = 717.73 : x
  2. Step 2: Convert to fraction form
    724.21/1,082.05 = 717.73/x
  3. Step 3: Cross multiply
    724.21x = 1,082.05 × 717.73
  4. Step 4: Simplify right side
    724.21x = 776,619.75
  5. Step 5: Solve for x
    x = 776,619.75/724.21
  6. Step 6: Final answer
    x = 1,072.37

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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.