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Finding the Fourth Proportional to 825.26, 1,237.80 and 331.88

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Solution

The fourth proportional to 825.26, 1,237.80 and 331.88 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,237.80 = 331.88 : x
  2. Step 2: Convert to fraction form
    825.26/1,237.80 = 331.88/x
  3. Step 3: Cross multiply
    825.26x = 1,237.80 × 331.88
  4. Step 4: Simplify right side
    825.26x = 410,801.06
  5. Step 5: Solve for x
    x = 410,801.06/825.26
  6. Step 6: Final answer
    x = 497.78

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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.