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Finding the Fourth Proportional to 825.35, 1,238.06 and 209.06

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Solution

The fourth proportional to 825.35, 1,238.06 and 209.06 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.35 : 1,238.06 = 209.06 : x
  2. Step 2: Convert to fraction form
    825.35/1,238.06 = 209.06/x
  3. Step 3: Cross multiply
    825.35x = 1,238.06 × 209.06
  4. Step 4: Simplify right side
    825.35x = 258,826.25
  5. Step 5: Solve for x
    x = 258,826.25/825.35
  6. Step 6: Final answer
    x = 313.60

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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.