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Finding the Fourth Proportional to 768.67, 1,061.18 and 516.96

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Solution

The fourth proportional to 768.67, 1,061.18 and 516.96 is: 713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.67 : 1,061.18 = 516.96 : x
  2. Step 2: Convert to fraction form
    768.67/1,061.18 = 516.96/x
  3. Step 3: Cross multiply
    768.67x = 1,061.18 × 516.96
  4. Step 4: Simplify right side
    768.67x = 548,586.97
  5. Step 5: Solve for x
    x = 548,586.97/768.67
  6. Step 6: Final answer
    x = 713.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.