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Finding the Fourth Proportional to 801.73, 1,200.26 and 724.87

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Solution

The fourth proportional to 801.73, 1,200.26 and 724.87 is: 1,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.73 : 1,200.26 = 724.87 : x
  2. Step 2: Convert to fraction form
    801.73/1,200.26 = 724.87/x
  3. Step 3: Cross multiply
    801.73x = 1,200.26 × 724.87
  4. Step 4: Simplify right side
    801.73x = 870,028.84
  5. Step 5: Solve for x
    x = 870,028.84/801.73
  6. Step 6: Final answer
    x = 1,085.19

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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.