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Finding the Fourth Proportional to 727.67, 1,091.39 and 207.56

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Solution

The fourth proportional to 727.67, 1,091.39 and 207.56 is: 311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.67 : 1,091.39 = 207.56 : x
  2. Step 2: Convert to fraction form
    727.67/1,091.39 = 207.56/x
  3. Step 3: Cross multiply
    727.67x = 1,091.39 × 207.56
  4. Step 4: Simplify right side
    727.67x = 226,530.60
  5. Step 5: Solve for x
    x = 226,530.60/727.67
  6. Step 6: Final answer
    x = 311.31

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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.