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Finding the Fourth Proportional to 1,194.23, 1,791.14 and 731.85

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Solution

The fourth proportional to 1,194.23, 1,791.14 and 731.85 is: 1,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.23 : 1,791.14 = 731.85 : x
  2. Step 2: Convert to fraction form
    1,194.23/1,791.14 = 731.85/x
  3. Step 3: Cross multiply
    1,194.23x = 1,791.14 × 731.85
  4. Step 4: Simplify right side
    1,194.23x = 1,310,842.15
  5. Step 5: Solve for x
    x = 1,310,842.15/1,194.23
  6. Step 6: Final answer
    x = 1,097.65

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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.