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Finding the Fourth Proportional to 701.52, 966.96 and 680.88

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Solution

The fourth proportional to 701.52, 966.96 and 680.88 is: 938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 966.96 = 680.88 : x
  2. Step 2: Convert to fraction form
    701.52/966.96 = 680.88/x
  3. Step 3: Cross multiply
    701.52x = 966.96 × 680.88
  4. Step 4: Simplify right side
    701.52x = 658,383.72
  5. Step 5: Solve for x
    x = 658,383.72/701.52
  6. Step 6: Final answer
    x = 938.51

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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.