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Finding the Fourth Proportional to 724.66, 1,082.51 and 580.54

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Solution

The fourth proportional to 724.66, 1,082.51 and 580.54 is: 867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.66 : 1,082.51 = 580.54 : x
  2. Step 2: Convert to fraction form
    724.66/1,082.51 = 580.54/x
  3. Step 3: Cross multiply
    724.66x = 1,082.51 × 580.54
  4. Step 4: Simplify right side
    724.66x = 628,440.36
  5. Step 5: Solve for x
    x = 628,440.36/724.66
  6. Step 6: Final answer
    x = 867.22

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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.