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Finding the Fourth Proportional to 982.20, 1,469.70 and 658.20

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Solution

The fourth proportional to 982.20, 1,469.70 and 658.20 is: 984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.20 : 1,469.70 = 658.20 : x
  2. Step 2: Convert to fraction form
    982.20/1,469.70 = 658.20/x
  3. Step 3: Cross multiply
    982.20x = 1,469.70 × 658.20
  4. Step 4: Simplify right side
    982.20x = 967,356.54
  5. Step 5: Solve for x
    x = 967,356.54/982.20
  6. Step 6: Final answer
    x = 984.89

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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.