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Finding the Fourth Proportional to 754.21, 1,131.48 and 267.27

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Solution

The fourth proportional to 754.21, 1,131.48 and 267.27 is: 400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,131.48 = 267.27 : x
  2. Step 2: Convert to fraction form
    754.21/1,131.48 = 267.27/x
  3. Step 3: Cross multiply
    754.21x = 1,131.48 × 267.27
  4. Step 4: Simplify right side
    754.21x = 302,410.66
  5. Step 5: Solve for x
    x = 302,410.66/754.21
  6. Step 6: Final answer
    x = 400.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.