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Finding the Fourth Proportional to 1,067.13, 1,471.91 and 833.85

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Solution

The fourth proportional to 1,067.13, 1,471.91 and 833.85 is: 1,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.13 : 1,471.91 = 833.85 : x
  2. Step 2: Convert to fraction form
    1,067.13/1,471.91 = 833.85/x
  3. Step 3: Cross multiply
    1,067.13x = 1,471.91 × 833.85
  4. Step 4: Simplify right side
    1,067.13x = 1,227,347.98
  5. Step 5: Solve for x
    x = 1,227,347.98/1,067.13
  6. Step 6: Final answer
    x = 1,150.14

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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.