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Finding the Fourth Proportional to 724.56, 1,084.26 and 450.78

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Solution

The fourth proportional to 724.56, 1,084.26 and 450.78 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.56 : 1,084.26 = 450.78 : x
  2. Step 2: Convert to fraction form
    724.56/1,084.26 = 450.78/x
  3. Step 3: Cross multiply
    724.56x = 1,084.26 × 450.78
  4. Step 4: Simplify right side
    724.56x = 488,762.72
  5. Step 5: Solve for x
    x = 488,762.72/724.56
  6. Step 6: Final answer
    x = 674.56

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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.