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Finding the Fourth Proportional to 750.17, 1,123.53 and 724.23

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Solution

The fourth proportional to 750.17, 1,123.53 and 724.23 is: 1,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.17 : 1,123.53 = 724.23 : x
  2. Step 2: Convert to fraction form
    750.17/1,123.53 = 724.23/x
  3. Step 3: Cross multiply
    750.17x = 1,123.53 × 724.23
  4. Step 4: Simplify right side
    750.17x = 813,694.13
  5. Step 5: Solve for x
    x = 813,694.13/750.17
  6. Step 6: Final answer
    x = 1,084.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.