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Finding the Fourth Proportional to 754.89, 1,134.35 and 408.48

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Solution

The fourth proportional to 754.89, 1,134.35 and 408.48 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.89 : 1,134.35 = 408.48 : x
  2. Step 2: Convert to fraction form
    754.89/1,134.35 = 408.48/x
  3. Step 3: Cross multiply
    754.89x = 1,134.35 × 408.48
  4. Step 4: Simplify right side
    754.89x = 463,357.25
  5. Step 5: Solve for x
    x = 463,357.25/754.89
  6. Step 6: Final answer
    x = 613.81

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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.