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Finding the Fourth Proportional to 825.74, 1,238.60 and 209.44

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Solution

The fourth proportional to 825.74, 1,238.60 and 209.44 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.74 : 1,238.60 = 209.44 : x
  2. Step 2: Convert to fraction form
    825.74/1,238.60 = 209.44/x
  3. Step 3: Cross multiply
    825.74x = 1,238.60 × 209.44
  4. Step 4: Simplify right side
    825.74x = 259,409.81
  5. Step 5: Solve for x
    x = 259,409.81/825.74
  6. Step 6: Final answer
    x = 314.16

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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.