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Finding the Fourth Proportional to 1,202.31, 1,658.39 and 829.31

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Solution

The fourth proportional to 1,202.31, 1,658.39 and 829.31 is: 1,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.31 : 1,658.39 = 829.31 : x
  2. Step 2: Convert to fraction form
    1,202.31/1,658.39 = 829.31/x
  3. Step 3: Cross multiply
    1,202.31x = 1,658.39 × 829.31
  4. Step 4: Simplify right side
    1,202.31x = 1,375,306.97
  5. Step 5: Solve for x
    x = 1,375,306.97/1,202.31
  6. Step 6: Final answer
    x = 1,143.89

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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.