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Finding the Fourth Proportional to 1,067.85, 1,471.97 and 842.27

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Solution

The fourth proportional to 1,067.85, 1,471.97 and 842.27 is: 1,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.85 : 1,471.97 = 842.27 : x
  2. Step 2: Convert to fraction form
    1,067.85/1,471.97 = 842.27/x
  3. Step 3: Cross multiply
    1,067.85x = 1,471.97 × 842.27
  4. Step 4: Simplify right side
    1,067.85x = 1,239,790.92
  5. Step 5: Solve for x
    x = 1,239,790.92/1,067.85
  6. Step 6: Final answer
    x = 1,161.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.