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Finding the Fourth Proportional to 668.05, 1,001.99 and 205.82

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Solution

The fourth proportional to 668.05, 1,001.99 and 205.82 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.05 : 1,001.99 = 205.82 : x
  2. Step 2: Convert to fraction form
    668.05/1,001.99 = 205.82/x
  3. Step 3: Cross multiply
    668.05x = 1,001.99 × 205.82
  4. Step 4: Simplify right side
    668.05x = 206,232.60
  5. Step 5: Solve for x
    x = 206,232.60/668.05
  6. Step 6: Final answer
    x = 308.71

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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.