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Finding the Fourth Proportional to 825.75, 1,139.54 and 452.73

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Solution

The fourth proportional to 825.75, 1,139.54 and 452.73 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.75 : 1,139.54 = 452.73 : x
  2. Step 2: Convert to fraction form
    825.75/1,139.54 = 452.73/x
  3. Step 3: Cross multiply
    825.75x = 1,139.54 × 452.73
  4. Step 4: Simplify right side
    825.75x = 515,903.94
  5. Step 5: Solve for x
    x = 515,903.94/825.75
  6. Step 6: Final answer
    x = 624.77

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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.