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Finding the Fourth Proportional to 727.41, 1,003.68 and 447.69

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Solution

The fourth proportional to 727.41, 1,003.68 and 447.69 is: 617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.41 : 1,003.68 = 447.69 : x
  2. Step 2: Convert to fraction form
    727.41/1,003.68 = 447.69/x
  3. Step 3: Cross multiply
    727.41x = 1,003.68 × 447.69
  4. Step 4: Simplify right side
    727.41x = 449,337.50
  5. Step 5: Solve for x
    x = 449,337.50/727.41
  6. Step 6: Final answer
    x = 617.72

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