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Finding the Fourth Proportional to 727.13, 1,091.36 and 380.70

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Solution

The fourth proportional to 727.13, 1,091.36 and 380.70 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.13 : 1,091.36 = 380.70 : x
  2. Step 2: Convert to fraction form
    727.13/1,091.36 = 380.70/x
  3. Step 3: Cross multiply
    727.13x = 1,091.36 × 380.70
  4. Step 4: Simplify right side
    727.13x = 415,481.70
  5. Step 5: Solve for x
    x = 415,481.70/727.13
  6. Step 6: Final answer
    x = 571.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.