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Finding the Fourth Proportional to 731.72, 1,096.34 and 514.92

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Solution

The fourth proportional to 731.72, 1,096.34 and 514.92 is: 771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.72 : 1,096.34 = 514.92 : x
  2. Step 2: Convert to fraction form
    731.72/1,096.34 = 514.92/x
  3. Step 3: Cross multiply
    731.72x = 1,096.34 × 514.92
  4. Step 4: Simplify right side
    731.72x = 564,527.39
  5. Step 5: Solve for x
    x = 564,527.39/731.72
  6. Step 6: Final answer
    x = 771.51

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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.