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Finding the Fourth Proportional to 1,197.20, 1,799.44 and 1,171.68

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Solution

The fourth proportional to 1,197.20, 1,799.44 and 1,171.68 is: 1,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.20 : 1,799.44 = 1,171.68 : x
  2. Step 2: Convert to fraction form
    1,197.20/1,799.44 = 1,171.68/x
  3. Step 3: Cross multiply
    1,197.20x = 1,799.44 × 1,171.68
  4. Step 4: Simplify right side
    1,197.20x = 2,108,367.86
  5. Step 5: Solve for x
    x = 2,108,367.86/1,197.20
  6. Step 6: Final answer
    x = 1,761.08

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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.