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Finding the Fourth Proportional to 724.51, 1,087.30 and 541.35

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Solution

The fourth proportional to 724.51, 1,087.30 and 541.35 is: 812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.51 : 1,087.30 = 541.35 : x
  2. Step 2: Convert to fraction form
    724.51/1,087.30 = 541.35/x
  3. Step 3: Cross multiply
    724.51x = 1,087.30 × 541.35
  4. Step 4: Simplify right side
    724.51x = 588,609.86
  5. Step 5: Solve for x
    x = 588,609.86/724.51
  6. Step 6: Final answer
    x = 812.42

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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.