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Finding the Fourth Proportional to 724.84, 1,087.03 and 237.77

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Solution

The fourth proportional to 724.84, 1,087.03 and 237.77 is: 356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.84 : 1,087.03 = 237.77 : x
  2. Step 2: Convert to fraction form
    724.84/1,087.03 = 237.77/x
  3. Step 3: Cross multiply
    724.84x = 1,087.03 × 237.77
  4. Step 4: Simplify right side
    724.84x = 258,463.12
  5. Step 5: Solve for x
    x = 258,463.12/724.84
  6. Step 6: Final answer
    x = 356.58

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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.