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Finding the Fourth Proportional to 1,067.27, 1,471.12 and 712.49

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Solution

The fourth proportional to 1,067.27, 1,471.12 and 712.49 is: 982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.27 : 1,471.12 = 712.49 : x
  2. Step 2: Convert to fraction form
    1,067.27/1,471.12 = 712.49/x
  3. Step 3: Cross multiply
    1,067.27x = 1,471.12 × 712.49
  4. Step 4: Simplify right side
    1,067.27x = 1,048,147.37
  5. Step 5: Solve for x
    x = 1,048,147.37/1,067.27
  6. Step 6: Final answer
    x = 982.09

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