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Finding the Fourth Proportional to 727.41, 1,091.06 and 316.84

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Solution

The fourth proportional to 727.41, 1,091.06 and 316.84 is: 475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.41 : 1,091.06 = 316.84 : x
  2. Step 2: Convert to fraction form
    727.41/1,091.06 = 316.84/x
  3. Step 3: Cross multiply
    727.41x = 1,091.06 × 316.84
  4. Step 4: Simplify right side
    727.41x = 345,691.45
  5. Step 5: Solve for x
    x = 345,691.45/727.41
  6. Step 6: Final answer
    x = 475.24

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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.