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Finding the Fourth Proportional to 1,198.98, 1,654.42 and 667.82

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Solution

The fourth proportional to 1,198.98, 1,654.42 and 667.82 is: 921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.98 : 1,654.42 = 667.82 : x
  2. Step 2: Convert to fraction form
    1,198.98/1,654.42 = 667.82/x
  3. Step 3: Cross multiply
    1,198.98x = 1,654.42 × 667.82
  4. Step 4: Simplify right side
    1,198.98x = 1,104,854.76
  5. Step 5: Solve for x
    x = 1,104,854.76/1,198.98
  6. Step 6: Final answer
    x = 921.50

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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.