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Finding the Fourth Proportional to 1,067.19, 1,471.60 and 842.75

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Solution

The fourth proportional to 1,067.19, 1,471.60 and 842.75 is: 1,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.19 : 1,471.60 = 842.75 : x
  2. Step 2: Convert to fraction form
    1,067.19/1,471.60 = 842.75/x
  3. Step 3: Cross multiply
    1,067.19x = 1,471.60 × 842.75
  4. Step 4: Simplify right side
    1,067.19x = 1,240,194.58
  5. Step 5: Solve for x
    x = 1,240,194.58/1,067.19
  6. Step 6: Final answer
    x = 1,162.11

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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.