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Finding the Fourth Proportional to 825.56, 1,139.24 and 452.55

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Solution

The fourth proportional to 825.56, 1,139.24 and 452.55 is: 624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.56 : 1,139.24 = 452.55 : x
  2. Step 2: Convert to fraction form
    825.56/1,139.24 = 452.55/x
  3. Step 3: Cross multiply
    825.56x = 1,139.24 × 452.55
  4. Step 4: Simplify right side
    825.56x = 515,560.80
  5. Step 5: Solve for x
    x = 515,560.80/825.56
  6. Step 6: Final answer
    x = 624.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.