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Finding the Fourth Proportional to 971.08, 1,456.83 and 354.78

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Solution

The fourth proportional to 971.08, 1,456.83 and 354.78 is: 532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.08 : 1,456.83 = 354.78 : x
  2. Step 2: Convert to fraction form
    971.08/1,456.83 = 354.78/x
  3. Step 3: Cross multiply
    971.08x = 1,456.83 × 354.78
  4. Step 4: Simplify right side
    971.08x = 516,854.15
  5. Step 5: Solve for x
    x = 516,854.15/971.08
  6. Step 6: Final answer
    x = 532.25

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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.