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Finding the Fourth Proportional to 727.41, 1,091.14 and 207.46

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Solution

The fourth proportional to 727.41, 1,091.14 and 207.46 is: 311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.41 : 1,091.14 = 207.46 : x
  2. Step 2: Convert to fraction form
    727.41/1,091.14 = 207.46/x
  3. Step 3: Cross multiply
    727.41x = 1,091.14 × 207.46
  4. Step 4: Simplify right side
    727.41x = 226,368.75
  5. Step 5: Solve for x
    x = 226,368.75/727.41
  6. Step 6: Final answer
    x = 311.20

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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.