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Finding the Fourth Proportional to 754.56, 1,131.36 and 364.80

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Solution

The fourth proportional to 754.56, 1,131.36 and 364.80 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,131.36 = 364.80 : x
  2. Step 2: Convert to fraction form
    754.56/1,131.36 = 364.80/x
  3. Step 3: Cross multiply
    754.56x = 1,131.36 × 364.80
  4. Step 4: Simplify right side
    754.56x = 412,720.13
  5. Step 5: Solve for x
    x = 412,720.13/754.56
  6. Step 6: Final answer
    x = 546.97

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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.