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Finding the Fourth Proportional to 982.69, 1,472.31 and 519.45

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Solution

The fourth proportional to 982.69, 1,472.31 and 519.45 is: 778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.69 : 1,472.31 = 519.45 : x
  2. Step 2: Convert to fraction form
    982.69/1,472.31 = 519.45/x
  3. Step 3: Cross multiply
    982.69x = 1,472.31 × 519.45
  4. Step 4: Simplify right side
    982.69x = 764,798.33
  5. Step 5: Solve for x
    x = 764,798.33/982.69
  6. Step 6: Final answer
    x = 778.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.