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Finding the Fourth Proportional to 1,103.28, 1,641.90 and 1,067.28

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Solution

The fourth proportional to 1,103.28, 1,641.90 and 1,067.28 is: 1,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.28 : 1,641.90 = 1,067.28 : x
  2. Step 2: Convert to fraction form
    1,103.28/1,641.90 = 1,067.28/x
  3. Step 3: Cross multiply
    1,103.28x = 1,641.90 × 1,067.28
  4. Step 4: Simplify right side
    1,103.28x = 1,752,367.03
  5. Step 5: Solve for x
    x = 1,752,367.03/1,103.28
  6. Step 6: Final answer
    x = 1,588.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.