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Finding the Fourth Proportional to 724.69, 1,087.56 and 493.03

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Solution

The fourth proportional to 724.69, 1,087.56 and 493.03 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.69 : 1,087.56 = 493.03 : x
  2. Step 2: Convert to fraction form
    724.69/1,087.56 = 493.03/x
  3. Step 3: Cross multiply
    724.69x = 1,087.56 × 493.03
  4. Step 4: Simplify right side
    724.69x = 536,199.71
  5. Step 5: Solve for x
    x = 536,199.71/724.69
  6. Step 6: Final answer
    x = 739.90

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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.