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Finding the Fourth Proportional to 825.44, 1,238.09 and 414.86

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Solution

The fourth proportional to 825.44, 1,238.09 and 414.86 is: 622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,238.09 = 414.86 : x
  2. Step 2: Convert to fraction form
    825.44/1,238.09 = 414.86/x
  3. Step 3: Cross multiply
    825.44x = 1,238.09 × 414.86
  4. Step 4: Simplify right side
    825.44x = 513,625.75
  5. Step 5: Solve for x
    x = 513,625.75/825.44
  6. Step 6: Final answer
    x = 622.25

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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.