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Finding the Fourth Proportional to 668.98, 1,001.31 and 394.39

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Solution

The fourth proportional to 668.98, 1,001.31 and 394.39 is: 590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.98 : 1,001.31 = 394.39 : x
  2. Step 2: Convert to fraction form
    668.98/1,001.31 = 394.39/x
  3. Step 3: Cross multiply
    668.98x = 1,001.31 × 394.39
  4. Step 4: Simplify right side
    668.98x = 394,906.65
  5. Step 5: Solve for x
    x = 394,906.65/668.98
  6. Step 6: Final answer
    x = 590.31

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