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Finding the Fourth Proportional to 872.22, 1,202.67 and 650.46

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Solution

The fourth proportional to 872.22, 1,202.67 and 650.46 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.22 : 1,202.67 = 650.46 : x
  2. Step 2: Convert to fraction form
    872.22/1,202.67 = 650.46/x
  3. Step 3: Cross multiply
    872.22x = 1,202.67 × 650.46
  4. Step 4: Simplify right side
    872.22x = 782,288.73
  5. Step 5: Solve for x
    x = 782,288.73/872.22
  6. Step 6: Final answer
    x = 896.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.