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Finding the Fourth Proportional to 669.67, 1,003.25 and 391.37

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Solution

The fourth proportional to 669.67, 1,003.25 and 391.37 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.67 : 1,003.25 = 391.37 : x
  2. Step 2: Convert to fraction form
    669.67/1,003.25 = 391.37/x
  3. Step 3: Cross multiply
    669.67x = 1,003.25 × 391.37
  4. Step 4: Simplify right side
    669.67x = 392,637.91
  5. Step 5: Solve for x
    x = 392,637.91/669.67
  6. Step 6: Final answer
    x = 586.32

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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.