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Finding the Fourth Proportional to 1,193.20, 1,791.65 and 673.79

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Solution

The fourth proportional to 1,193.20, 1,791.65 and 673.79 is: 1,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.20 : 1,791.65 = 673.79 : x
  2. Step 2: Convert to fraction form
    1,193.20/1,791.65 = 673.79/x
  3. Step 3: Cross multiply
    1,193.20x = 1,791.65 × 673.79
  4. Step 4: Simplify right side
    1,193.20x = 1,207,188.58
  5. Step 5: Solve for x
    x = 1,207,188.58/1,193.20
  6. Step 6: Final answer
    x = 1,011.73

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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.