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Finding the Fourth Proportional to 1,286.44, 1,775.50 and 727.16

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Solution

The fourth proportional to 1,286.44, 1,775.50 and 727.16 is: 1,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.44 : 1,775.50 = 727.16 : x
  2. Step 2: Convert to fraction form
    1,286.44/1,775.50 = 727.16/x
  3. Step 3: Cross multiply
    1,286.44x = 1,775.50 × 727.16
  4. Step 4: Simplify right side
    1,286.44x = 1,291,072.58
  5. Step 5: Solve for x
    x = 1,291,072.58/1,286.44
  6. Step 6: Final answer
    x = 1,003.60

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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.