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Finding the Fourth Proportional to 817.88, 1,226.92 and 270.12

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Solution

The fourth proportional to 817.88, 1,226.92 and 270.12 is: 405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.88 : 1,226.92 = 270.12 : x
  2. Step 2: Convert to fraction form
    817.88/1,226.92 = 270.12/x
  3. Step 3: Cross multiply
    817.88x = 1,226.92 × 270.12
  4. Step 4: Simplify right side
    817.88x = 331,415.63
  5. Step 5: Solve for x
    x = 331,415.63/817.88
  6. Step 6: Final answer
    x = 405.21

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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.