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Finding the Fourth Proportional to 1,027.20, 1,542.60 and 994.80

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Solution

The fourth proportional to 1,027.20, 1,542.60 and 994.80 is: 1,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.20 : 1,542.60 = 994.80 : x
  2. Step 2: Convert to fraction form
    1,027.20/1,542.60 = 994.80/x
  3. Step 3: Cross multiply
    1,027.20x = 1,542.60 × 994.80
  4. Step 4: Simplify right side
    1,027.20x = 1,534,578.48
  5. Step 5: Solve for x
    x = 1,534,578.48/1,027.20
  6. Step 6: Final answer
    x = 1,493.94

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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.