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Finding the Fourth Proportional to 754.94, 1,133.78 and 658.12

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Solution

The fourth proportional to 754.94, 1,133.78 and 658.12 is: 988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,133.78 = 658.12 : x
  2. Step 2: Convert to fraction form
    754.94/1,133.78 = 658.12/x
  3. Step 3: Cross multiply
    754.94x = 1,133.78 × 658.12
  4. Step 4: Simplify right side
    754.94x = 746,163.29
  5. Step 5: Solve for x
    x = 746,163.29/754.94
  6. Step 6: Final answer
    x = 988.37

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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.