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Finding the Fourth Proportional to 1,196.44, 1,793.97 and 1,127.64

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Solution

The fourth proportional to 1,196.44, 1,793.97 and 1,127.64 is: 1,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.44 : 1,793.97 = 1,127.64 : x
  2. Step 2: Convert to fraction form
    1,196.44/1,793.97 = 1,127.64/x
  3. Step 3: Cross multiply
    1,196.44x = 1,793.97 × 1,127.64
  4. Step 4: Simplify right side
    1,196.44x = 2,022,952.33
  5. Step 5: Solve for x
    x = 2,022,952.33/1,196.44
  6. Step 6: Final answer
    x = 1,690.81

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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.