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Finding the Fourth Proportional to 817.82, 1,226.12 and 262.20

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Solution

The fourth proportional to 817.82, 1,226.12 and 262.20 is: 393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,226.12 = 262.20 : x
  2. Step 2: Convert to fraction form
    817.82/1,226.12 = 262.20/x
  3. Step 3: Cross multiply
    817.82x = 1,226.12 × 262.20
  4. Step 4: Simplify right side
    817.82x = 321,495.55
  5. Step 5: Solve for x
    x = 321,495.55/817.82
  6. Step 6: Final answer
    x = 393.11

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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.