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Finding the Fourth Proportional to 727.74, 1,091.61 and 241.11

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Solution

The fourth proportional to 727.74, 1,091.61 and 241.11 is: 361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.74 : 1,091.61 = 241.11 : x
  2. Step 2: Convert to fraction form
    727.74/1,091.61 = 241.11/x
  3. Step 3: Cross multiply
    727.74x = 1,091.61 × 241.11
  4. Step 4: Simplify right side
    727.74x = 263,198.09
  5. Step 5: Solve for x
    x = 263,198.09/727.74
  6. Step 6: Final answer
    x = 361.67

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Why These Related Problems?

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