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Finding the Fourth Proportional to 863.67, 1,293.54 and 516.31

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Solution

The fourth proportional to 863.67, 1,293.54 and 516.31 is: 773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.67 : 1,293.54 = 516.31 : x
  2. Step 2: Convert to fraction form
    863.67/1,293.54 = 516.31/x
  3. Step 3: Cross multiply
    863.67x = 1,293.54 × 516.31
  4. Step 4: Simplify right side
    863.67x = 667,867.64
  5. Step 5: Solve for x
    x = 667,867.64/863.67
  6. Step 6: Final answer
    x = 773.29

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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.