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Finding the Fourth Proportional to 724.33, 1,087.58 and 416.53

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Solution

The fourth proportional to 724.33, 1,087.58 and 416.53 is: 625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.33 : 1,087.58 = 416.53 : x
  2. Step 2: Convert to fraction form
    724.33/1,087.58 = 416.53/x
  3. Step 3: Cross multiply
    724.33x = 1,087.58 × 416.53
  4. Step 4: Simplify right side
    724.33x = 453,009.70
  5. Step 5: Solve for x
    x = 453,009.70/724.33
  6. Step 6: Final answer
    x = 625.42

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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.