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Finding the Fourth Proportional to 1,198.59, 1,654.09 and 667.50

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Solution

The fourth proportional to 1,198.59, 1,654.09 and 667.50 is: 921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.59 : 1,654.09 = 667.50 : x
  2. Step 2: Convert to fraction form
    1,198.59/1,654.09 = 667.50/x
  3. Step 3: Cross multiply
    1,198.59x = 1,654.09 × 667.50
  4. Step 4: Simplify right side
    1,198.59x = 1,104,105.08
  5. Step 5: Solve for x
    x = 1,104,105.08/1,198.59
  6. Step 6: Final answer
    x = 921.17

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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.