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Finding the Fourth Proportional to 1,327.73, 1,831.84 and 768.13

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Solution

The fourth proportional to 1,327.73, 1,831.84 and 768.13 is: 1,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.73 : 1,831.84 = 768.13 : x
  2. Step 2: Convert to fraction form
    1,327.73/1,831.84 = 768.13/x
  3. Step 3: Cross multiply
    1,327.73x = 1,831.84 × 768.13
  4. Step 4: Simplify right side
    1,327.73x = 1,407,091.26
  5. Step 5: Solve for x
    x = 1,407,091.26/1,327.73
  6. Step 6: Final answer
    x = 1,059.77

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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.