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Finding the Fourth Proportional to 724.09, 1,086.27 and 237.08

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Solution

The fourth proportional to 724.09, 1,086.27 and 237.08 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.09 : 1,086.27 = 237.08 : x
  2. Step 2: Convert to fraction form
    724.09/1,086.27 = 237.08/x
  3. Step 3: Cross multiply
    724.09x = 1,086.27 × 237.08
  4. Step 4: Simplify right side
    724.09x = 257,532.89
  5. Step 5: Solve for x
    x = 257,532.89/724.09
  6. Step 6: Final answer
    x = 355.66

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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.