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Finding the Fourth Proportional to 971.19, 1,456.20 and 422.91

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Solution

The fourth proportional to 971.19, 1,456.20 and 422.91 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.19 : 1,456.20 = 422.91 : x
  2. Step 2: Convert to fraction form
    971.19/1,456.20 = 422.91/x
  3. Step 3: Cross multiply
    971.19x = 1,456.20 × 422.91
  4. Step 4: Simplify right side
    971.19x = 615,841.54
  5. Step 5: Solve for x
    x = 615,841.54/971.19
  6. Step 6: Final answer
    x = 634.11

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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.