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Finding the Fourth Proportional to 727.56, 1,004.13 and 447.74

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Solution

The fourth proportional to 727.56, 1,004.13 and 447.74 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,004.13 = 447.74 : x
  2. Step 2: Convert to fraction form
    727.56/1,004.13 = 447.74/x
  3. Step 3: Cross multiply
    727.56x = 1,004.13 × 447.74
  4. Step 4: Simplify right side
    727.56x = 449,584.15
  5. Step 5: Solve for x
    x = 449,584.15/727.56
  6. Step 6: Final answer
    x = 617.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.