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Finding the Fourth Proportional to 1,067.27, 1,601.15 and 848.72

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Solution

The fourth proportional to 1,067.27, 1,601.15 and 848.72 is: 1,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.27 : 1,601.15 = 848.72 : x
  2. Step 2: Convert to fraction form
    1,067.27/1,601.15 = 848.72/x
  3. Step 3: Cross multiply
    1,067.27x = 1,601.15 × 848.72
  4. Step 4: Simplify right side
    1,067.27x = 1,358,915.78
  5. Step 5: Solve for x
    x = 1,358,915.78/1,067.27
  6. Step 6: Final answer
    x = 1,273.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.