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Finding the Fourth Proportional to 724.72, 1,087.50 and 718.85

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Solution

The fourth proportional to 724.72, 1,087.50 and 718.85 is: 1,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.72 : 1,087.50 = 718.85 : x
  2. Step 2: Convert to fraction form
    724.72/1,087.50 = 718.85/x
  3. Step 3: Cross multiply
    724.72x = 1,087.50 × 718.85
  4. Step 4: Simplify right side
    724.72x = 781,749.38
  5. Step 5: Solve for x
    x = 781,749.38/724.72
  6. Step 6: Final answer
    x = 1,078.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.