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Finding the Fourth Proportional to 825.88, 1,238.77 and 209.59

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Solution

The fourth proportional to 825.88, 1,238.77 and 209.59 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,238.77 = 209.59 : x
  2. Step 2: Convert to fraction form
    825.88/1,238.77 = 209.59/x
  3. Step 3: Cross multiply
    825.88x = 1,238.77 × 209.59
  4. Step 4: Simplify right side
    825.88x = 259,633.80
  5. Step 5: Solve for x
    x = 259,633.80/825.88
  6. Step 6: Final answer
    x = 314.37

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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.