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Finding the Fourth Proportional to 668.56, 1,003.01 and 539.73

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Solution

The fourth proportional to 668.56, 1,003.01 and 539.73 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.56 : 1,003.01 = 539.73 : x
  2. Step 2: Convert to fraction form
    668.56/1,003.01 = 539.73/x
  3. Step 3: Cross multiply
    668.56x = 1,003.01 × 539.73
  4. Step 4: Simplify right side
    668.56x = 541,353.41
  5. Step 5: Solve for x
    x = 541,353.41/668.56
  6. Step 6: Final answer
    x = 809.73

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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.