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Finding the Fourth Proportional to 1,198.55, 1,654.55 and 800.87

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Solution

The fourth proportional to 1,198.55, 1,654.55 and 800.87 is: 1,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.55 : 1,654.55 = 800.87 : x
  2. Step 2: Convert to fraction form
    1,198.55/1,654.55 = 800.87/x
  3. Step 3: Cross multiply
    1,198.55x = 1,654.55 × 800.87
  4. Step 4: Simplify right side
    1,198.55x = 1,325,067.18
  5. Step 5: Solve for x
    x = 1,325,067.18/1,198.55
  6. Step 6: Final answer
    x = 1,105.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.