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Finding the Fourth Proportional to 1,327.81, 1,832.43 and 768.30

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Solution

The fourth proportional to 1,327.81, 1,832.43 and 768.30 is: 1,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.81 : 1,832.43 = 768.30 : x
  2. Step 2: Convert to fraction form
    1,327.81/1,832.43 = 768.30/x
  3. Step 3: Cross multiply
    1,327.81x = 1,832.43 × 768.30
  4. Step 4: Simplify right side
    1,327.81x = 1,407,855.97
  5. Step 5: Solve for x
    x = 1,407,855.97/1,327.81
  6. Step 6: Final answer
    x = 1,060.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.