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Finding the Fourth Proportional to 1,198.92, 1,654.45 and 667.84

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Solution

The fourth proportional to 1,198.92, 1,654.45 and 667.84 is: 921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.92 : 1,654.45 = 667.84 : x
  2. Step 2: Convert to fraction form
    1,198.92/1,654.45 = 667.84/x
  3. Step 3: Cross multiply
    1,198.92x = 1,654.45 × 667.84
  4. Step 4: Simplify right side
    1,198.92x = 1,104,907.89
  5. Step 5: Solve for x
    x = 1,104,907.89/1,198.92
  6. Step 6: Final answer
    x = 921.59

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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.