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Finding the Fourth Proportional to 723.32, 1,083.34 and 516.76

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Solution

The fourth proportional to 723.32, 1,083.34 and 516.76 is: 773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,083.34 = 516.76 : x
  2. Step 2: Convert to fraction form
    723.32/1,083.34 = 516.76/x
  3. Step 3: Cross multiply
    723.32x = 1,083.34 × 516.76
  4. Step 4: Simplify right side
    723.32x = 559,826.78
  5. Step 5: Solve for x
    x = 559,826.78/723.32
  6. Step 6: Final answer
    x = 773.97

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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.