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Finding the Fourth Proportional to 1,198.62, 1,654.07 and 667.49

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Solution

The fourth proportional to 1,198.62, 1,654.07 and 667.49 is: 921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.62 : 1,654.07 = 667.49 : x
  2. Step 2: Convert to fraction form
    1,198.62/1,654.07 = 667.49/x
  3. Step 3: Cross multiply
    1,198.62x = 1,654.07 × 667.49
  4. Step 4: Simplify right side
    1,198.62x = 1,104,063.58
  5. Step 5: Solve for x
    x = 1,104,063.58/1,198.62
  6. Step 6: Final answer
    x = 921.11

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Why These Related Problems?

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