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Finding the Fourth Proportional to 727.45, 1,091.21 and 240.55

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Solution

The fourth proportional to 727.45, 1,091.21 and 240.55 is: 360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.45 : 1,091.21 = 240.55 : x
  2. Step 2: Convert to fraction form
    727.45/1,091.21 = 240.55/x
  3. Step 3: Cross multiply
    727.45x = 1,091.21 × 240.55
  4. Step 4: Simplify right side
    727.45x = 262,486.63
  5. Step 5: Solve for x
    x = 262,486.63/727.45
  6. Step 6: Final answer
    x = 360.83

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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.