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Finding the Fourth Proportional to 825.39, 1,238.10 and 209.10

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Solution

The fourth proportional to 825.39, 1,238.10 and 209.10 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.39 : 1,238.10 = 209.10 : x
  2. Step 2: Convert to fraction form
    825.39/1,238.10 = 209.10/x
  3. Step 3: Cross multiply
    825.39x = 1,238.10 × 209.10
  4. Step 4: Simplify right side
    825.39x = 258,886.71
  5. Step 5: Solve for x
    x = 258,886.71/825.39
  6. Step 6: Final answer
    x = 313.65

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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.