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Finding the Fourth Proportional to 1,383.72, 1,909.94 and 911.97

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Solution

The fourth proportional to 1,383.72, 1,909.94 and 911.97 is: 1,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.72 : 1,909.94 = 911.97 : x
  2. Step 2: Convert to fraction form
    1,383.72/1,909.94 = 911.97/x
  3. Step 3: Cross multiply
    1,383.72x = 1,909.94 × 911.97
  4. Step 4: Simplify right side
    1,383.72x = 1,741,793.87
  5. Step 5: Solve for x
    x = 1,741,793.87/1,383.72
  6. Step 6: Final answer
    x = 1,258.78

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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.