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Finding the Fourth Proportional to 727.65, 1,091.31 and 207.64

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Solution

The fourth proportional to 727.65, 1,091.31 and 207.64 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.65 : 1,091.31 = 207.64 : x
  2. Step 2: Convert to fraction form
    727.65/1,091.31 = 207.64/x
  3. Step 3: Cross multiply
    727.65x = 1,091.31 × 207.64
  4. Step 4: Simplify right side
    727.65x = 226,600.97
  5. Step 5: Solve for x
    x = 226,600.97/727.65
  6. Step 6: Final answer
    x = 311.41

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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.