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Finding the Fourth Proportional to 971.22, 1,340.92 and 640.20

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Solution

The fourth proportional to 971.22, 1,340.92 and 640.20 is: 883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,340.92 = 640.20 : x
  2. Step 2: Convert to fraction form
    971.22/1,340.92 = 640.20/x
  3. Step 3: Cross multiply
    971.22x = 1,340.92 × 640.20
  4. Step 4: Simplify right side
    971.22x = 858,456.98
  5. Step 5: Solve for x
    x = 858,456.98/971.22
  6. Step 6: Final answer
    x = 883.90

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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.