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Finding the Fourth Proportional to 709.38, 978.67 and 523.31

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Solution

The fourth proportional to 709.38, 978.67 and 523.31 is: 721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 978.67 = 523.31 : x
  2. Step 2: Convert to fraction form
    709.38/978.67 = 523.31/x
  3. Step 3: Cross multiply
    709.38x = 978.67 × 523.31
  4. Step 4: Simplify right side
    709.38x = 512,150.90
  5. Step 5: Solve for x
    x = 512,150.90/709.38
  6. Step 6: Final answer
    x = 721.97

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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.