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Finding the Fourth Proportional to 667.69, 1,001.87 and 394.31

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Solution

The fourth proportional to 667.69, 1,001.87 and 394.31 is: 591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.69 : 1,001.87 = 394.31 : x
  2. Step 2: Convert to fraction form
    667.69/1,001.87 = 394.31/x
  3. Step 3: Cross multiply
    667.69x = 1,001.87 × 394.31
  4. Step 4: Simplify right side
    667.69x = 395,045.39
  5. Step 5: Solve for x
    x = 395,045.39/667.69
  6. Step 6: Final answer
    x = 591.66

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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.