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Finding the Fourth Proportional to 727.25, 1,091.03 and 240.26

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Solution

The fourth proportional to 727.25, 1,091.03 and 240.26 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,091.03 = 240.26 : x
  2. Step 2: Convert to fraction form
    727.25/1,091.03 = 240.26/x
  3. Step 3: Cross multiply
    727.25x = 1,091.03 × 240.26
  4. Step 4: Simplify right side
    727.25x = 262,124.21
  5. Step 5: Solve for x
    x = 262,124.21/727.25
  6. Step 6: Final answer
    x = 360.43

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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.