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Finding the Fourth Proportional to 674.65, 1,016.17 and 638.20

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Solution

The fourth proportional to 674.65, 1,016.17 and 638.20 is: 961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.65 : 1,016.17 = 638.20 : x
  2. Step 2: Convert to fraction form
    674.65/1,016.17 = 638.20/x
  3. Step 3: Cross multiply
    674.65x = 1,016.17 × 638.20
  4. Step 4: Simplify right side
    674.65x = 648,519.69
  5. Step 5: Solve for x
    x = 648,519.69/674.65
  6. Step 6: Final answer
    x = 961.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.