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Finding the Fourth Proportional to 825.98, 1,238.96 and 209.67

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Solution

The fourth proportional to 825.98, 1,238.96 and 209.67 is: 314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.98 : 1,238.96 = 209.67 : x
  2. Step 2: Convert to fraction form
    825.98/1,238.96 = 209.67/x
  3. Step 3: Cross multiply
    825.98x = 1,238.96 × 209.67
  4. Step 4: Simplify right side
    825.98x = 259,774.12
  5. Step 5: Solve for x
    x = 259,774.12/825.98
  6. Step 6: Final answer
    x = 314.51

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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.