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Finding the Fourth Proportional to 1,327.25, 1,831.65 and 908.48

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Solution

The fourth proportional to 1,327.25, 1,831.65 and 908.48 is: 1,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.25 : 1,831.65 = 908.48 : x
  2. Step 2: Convert to fraction form
    1,327.25/1,831.65 = 908.48/x
  3. Step 3: Cross multiply
    1,327.25x = 1,831.65 × 908.48
  4. Step 4: Simplify right side
    1,327.25x = 1,664,017.39
  5. Step 5: Solve for x
    x = 1,664,017.39/1,327.25
  6. Step 6: Final answer
    x = 1,253.73

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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.