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Finding the Fourth Proportional to 754.70, 1,132.01 and 206.84

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Solution

The fourth proportional to 754.70, 1,132.01 and 206.84 is: 310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.70 : 1,132.01 = 206.84 : x
  2. Step 2: Convert to fraction form
    754.70/1,132.01 = 206.84/x
  3. Step 3: Cross multiply
    754.70x = 1,132.01 × 206.84
  4. Step 4: Simplify right side
    754.70x = 234,147.52
  5. Step 5: Solve for x
    x = 234,147.52/754.70
  6. Step 6: Final answer
    x = 310.25

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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.