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Finding the Fourth Proportional to 1,198.31, 1,653.82 and 867.83

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Solution

The fourth proportional to 1,198.31, 1,653.82 and 867.83 is: 1,197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.31 : 1,653.82 = 867.83 : x
  2. Step 2: Convert to fraction form
    1,198.31/1,653.82 = 867.83/x
  3. Step 3: Cross multiply
    1,198.31x = 1,653.82 × 867.83
  4. Step 4: Simplify right side
    1,198.31x = 1,435,224.17
  5. Step 5: Solve for x
    x = 1,435,224.17/1,198.31
  6. Step 6: Final answer
    x = 1,197.71

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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.