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Finding the Fourth Proportional to 1,067.32, 1,600.82 and 490.12

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Solution

The fourth proportional to 1,067.32, 1,600.82 and 490.12 is: 735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.32 : 1,600.82 = 490.12 : x
  2. Step 2: Convert to fraction form
    1,067.32/1,600.82 = 490.12/x
  3. Step 3: Cross multiply
    1,067.32x = 1,600.82 × 490.12
  4. Step 4: Simplify right side
    1,067.32x = 784,593.90
  5. Step 5: Solve for x
    x = 784,593.90/1,067.32
  6. Step 6: Final answer
    x = 735.11

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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.