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Finding the Fourth Proportional to 1,198.11, 1,795.56 and 887.43

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Solution

The fourth proportional to 1,198.11, 1,795.56 and 887.43 is: 1,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.11 : 1,795.56 = 887.43 : x
  2. Step 2: Convert to fraction form
    1,198.11/1,795.56 = 887.43/x
  3. Step 3: Cross multiply
    1,198.11x = 1,795.56 × 887.43
  4. Step 4: Simplify right side
    1,198.11x = 1,593,433.81
  5. Step 5: Solve for x
    x = 1,593,433.81/1,198.11
  6. Step 6: Final answer
    x = 1,329.96

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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.