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Finding the Fourth Proportional to 982.28, 1,472.18 and 519.76

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Solution

The fourth proportional to 982.28, 1,472.18 and 519.76 is: 778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.28 : 1,472.18 = 519.76 : x
  2. Step 2: Convert to fraction form
    982.28/1,472.18 = 519.76/x
  3. Step 3: Cross multiply
    982.28x = 1,472.18 × 519.76
  4. Step 4: Simplify right side
    982.28x = 765,180.28
  5. Step 5: Solve for x
    x = 765,180.28/982.28
  6. Step 6: Final answer
    x = 778.98

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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.