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Finding the Fourth Proportional to 1,105.46, 1,650.28 and 1,067.03

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Solution

The fourth proportional to 1,105.46, 1,650.28 and 1,067.03 is: 1,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.46 : 1,650.28 = 1,067.03 : x
  2. Step 2: Convert to fraction form
    1,105.46/1,650.28 = 1,067.03/x
  3. Step 3: Cross multiply
    1,105.46x = 1,650.28 × 1,067.03
  4. Step 4: Simplify right side
    1,105.46x = 1,760,887.35
  5. Step 5: Solve for x
    x = 1,760,887.35/1,105.46
  6. Step 6: Final answer
    x = 1,592.91

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