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Finding the Fourth Proportional to 1,067.12, 1,599.05 and 791.92

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Solution

The fourth proportional to 1,067.12, 1,599.05 and 791.92 is: 1,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,599.05 = 791.92 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,599.05 = 791.92/x
  3. Step 3: Cross multiply
    1,067.12x = 1,599.05 × 791.92
  4. Step 4: Simplify right side
    1,067.12x = 1,266,317.66
  5. Step 5: Solve for x
    x = 1,266,317.66/1,067.12
  6. Step 6: Final answer
    x = 1,186.67

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Why These Related Problems?

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