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Finding the Fourth Proportional to 982.10, 1,473.60 and 519.78

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Solution

The fourth proportional to 982.10, 1,473.60 and 519.78 is: 779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.10 : 1,473.60 = 519.78 : x
  2. Step 2: Convert to fraction form
    982.10/1,473.60 = 519.78/x
  3. Step 3: Cross multiply
    982.10x = 1,473.60 × 519.78
  4. Step 4: Simplify right side
    982.10x = 765,947.81
  5. Step 5: Solve for x
    x = 765,947.81/982.10
  6. Step 6: Final answer
    x = 779.91

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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.