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Finding the Fourth Proportional to 982.12, 1,471.41 and 519.61

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Solution

The fourth proportional to 982.12, 1,471.41 and 519.61 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.12 : 1,471.41 = 519.61 : x
  2. Step 2: Convert to fraction form
    982.12/1,471.41 = 519.61/x
  3. Step 3: Cross multiply
    982.12x = 1,471.41 × 519.61
  4. Step 4: Simplify right side
    982.12x = 764,556.75
  5. Step 5: Solve for x
    x = 764,556.75/982.12
  6. Step 6: Final answer
    x = 778.48

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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.