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Finding the Fourth Proportional to 825.06, 1,236.22 and 580.39

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Solution

The fourth proportional to 825.06, 1,236.22 and 580.39 is: 869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,236.22 = 580.39 : x
  2. Step 2: Convert to fraction form
    825.06/1,236.22 = 580.39/x
  3. Step 3: Cross multiply
    825.06x = 1,236.22 × 580.39
  4. Step 4: Simplify right side
    825.06x = 717,489.73
  5. Step 5: Solve for x
    x = 717,489.73/825.06
  6. Step 6: Final answer
    x = 869.62

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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.