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Finding the Fourth Proportional to 754.75, 1,133.87 and 723.62

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Solution

The fourth proportional to 754.75, 1,133.87 and 723.62 is: 1,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.75 : 1,133.87 = 723.62 : x
  2. Step 2: Convert to fraction form
    754.75/1,133.87 = 723.62/x
  3. Step 3: Cross multiply
    754.75x = 1,133.87 × 723.62
  4. Step 4: Simplify right side
    754.75x = 820,481.72
  5. Step 5: Solve for x
    x = 820,481.72/754.75
  6. Step 6: Final answer
    x = 1,087.09

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Why These Related Problems?

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