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Finding the Fourth Proportional to 842.02, 1,263.12 and 225.73

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Solution

The fourth proportional to 842.02, 1,263.12 and 225.73 is: 338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,263.12 = 225.73 : x
  2. Step 2: Convert to fraction form
    842.02/1,263.12 = 225.73/x
  3. Step 3: Cross multiply
    842.02x = 1,263.12 × 225.73
  4. Step 4: Simplify right side
    842.02x = 285,124.08
  5. Step 5: Solve for x
    x = 285,124.08/842.02
  6. Step 6: Final answer
    x = 338.62

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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.