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Finding the Fourth Proportional to 971.62, 1,456.13 and 354.75

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Solution

The fourth proportional to 971.62, 1,456.13 and 354.75 is: 531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.62 : 1,456.13 = 354.75 : x
  2. Step 2: Convert to fraction form
    971.62/1,456.13 = 354.75/x
  3. Step 3: Cross multiply
    971.62x = 1,456.13 × 354.75
  4. Step 4: Simplify right side
    971.62x = 516,562.12
  5. Step 5: Solve for x
    x = 516,562.12/971.62
  6. Step 6: Final answer
    x = 531.65

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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.