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Finding the Fourth Proportional to 727.16, 1,003.60 and 447.54

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Solution

The fourth proportional to 727.16, 1,003.60 and 447.54 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.16 : 1,003.60 = 447.54 : x
  2. Step 2: Convert to fraction form
    727.16/1,003.60 = 447.54/x
  3. Step 3: Cross multiply
    727.16x = 1,003.60 × 447.54
  4. Step 4: Simplify right side
    727.16x = 449,151.14
  5. Step 5: Solve for x
    x = 449,151.14/727.16
  6. Step 6: Final answer
    x = 617.68

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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.