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Finding the Fourth Proportional to 1,329.11, 1,992.09 and 781.65

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Solution

The fourth proportional to 1,329.11, 1,992.09 and 781.65 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.11 : 1,992.09 = 781.65 : x
  2. Step 2: Convert to fraction form
    1,329.11/1,992.09 = 781.65/x
  3. Step 3: Cross multiply
    1,329.11x = 1,992.09 × 781.65
  4. Step 4: Simplify right side
    1,329.11x = 1,557,120.08
  5. Step 5: Solve for x
    x = 1,557,120.08/1,329.11
  6. Step 6: Final answer
    x = 1,171.55

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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.