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Finding the Fourth Proportional to 825.75, 1,238.63 and 209.41

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Solution

The fourth proportional to 825.75, 1,238.63 and 209.41 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.75 : 1,238.63 = 209.41 : x
  2. Step 2: Convert to fraction form
    825.75/1,238.63 = 209.41/x
  3. Step 3: Cross multiply
    825.75x = 1,238.63 × 209.41
  4. Step 4: Simplify right side
    825.75x = 259,383.19
  5. Step 5: Solve for x
    x = 259,383.19/825.75
  6. Step 6: Final answer
    x = 314.12

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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.