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Finding the Fourth Proportional to 1,631.97, 2,449.71 and 658.71

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Solution

The fourth proportional to 1,631.97, 2,449.71 and 658.71 is: 988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.97 : 2,449.71 = 658.71 : x
  2. Step 2: Convert to fraction form
    1,631.97/2,449.71 = 658.71/x
  3. Step 3: Cross multiply
    1,631.97x = 2,449.71 × 658.71
  4. Step 4: Simplify right side
    1,631.97x = 1,613,648.47
  5. Step 5: Solve for x
    x = 1,613,648.47/1,631.97
  6. Step 6: Final answer
    x = 988.77

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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.