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Finding the Fourth Proportional to 727.94, 1,091.83 and 207.91

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Solution

The fourth proportional to 727.94, 1,091.83 and 207.91 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.94 : 1,091.83 = 207.91 : x
  2. Step 2: Convert to fraction form
    727.94/1,091.83 = 207.91/x
  3. Step 3: Cross multiply
    727.94x = 1,091.83 × 207.91
  4. Step 4: Simplify right side
    727.94x = 226,995.88
  5. Step 5: Solve for x
    x = 226,995.88/727.94
  6. Step 6: Final answer
    x = 311.84

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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.