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Finding the Fourth Proportional to 1,327.81, 1,832.42 and 768.23

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Solution

The fourth proportional to 1,327.81, 1,832.42 and 768.23 is: 1,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.81 : 1,832.42 = 768.23 : x
  2. Step 2: Convert to fraction form
    1,327.81/1,832.42 = 768.23/x
  3. Step 3: Cross multiply
    1,327.81x = 1,832.42 × 768.23
  4. Step 4: Simplify right side
    1,327.81x = 1,407,720.02
  5. Step 5: Solve for x
    x = 1,407,720.02/1,327.81
  6. Step 6: Final answer
    x = 1,060.18

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Why These Related Problems?

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