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Finding the Fourth Proportional to 1,198.59, 1,654.02 and 667.46

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Solution

The fourth proportional to 1,198.59, 1,654.02 and 667.46 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.59 : 1,654.02 = 667.46 : x
  2. Step 2: Convert to fraction form
    1,198.59/1,654.02 = 667.46/x
  3. Step 3: Cross multiply
    1,198.59x = 1,654.02 × 667.46
  4. Step 4: Simplify right side
    1,198.59x = 1,103,992.19
  5. Step 5: Solve for x
    x = 1,103,992.19/1,198.59
  6. Step 6: Final answer
    x = 921.08

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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.