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Finding the Fourth Proportional to 667.79, 1,001.69 and 205.57

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Solution

The fourth proportional to 667.79, 1,001.69 and 205.57 is: 308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.79 : 1,001.69 = 205.57 : x
  2. Step 2: Convert to fraction form
    667.79/1,001.69 = 205.57/x
  3. Step 3: Cross multiply
    667.79x = 1,001.69 × 205.57
  4. Step 4: Simplify right side
    667.79x = 205,922.94
  5. Step 5: Solve for x
    x = 205,922.94/667.79
  6. Step 6: Final answer
    x = 308.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.