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Finding the Fourth Proportional to 982.02, 1,473.41 and 519.78

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Solution

The fourth proportional to 982.02, 1,473.41 and 519.78 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.02 : 1,473.41 = 519.78 : x
  2. Step 2: Convert to fraction form
    982.02/1,473.41 = 519.78/x
  3. Step 3: Cross multiply
    982.02x = 1,473.41 × 519.78
  4. Step 4: Simplify right side
    982.02x = 765,849.05
  5. Step 5: Solve for x
    x = 765,849.05/982.02
  6. Step 6: Final answer
    x = 779.87

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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.