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Finding the Fourth Proportional to 817.29, 1,226.70 and 406.62

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Solution

The fourth proportional to 817.29, 1,226.70 and 406.62 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.29 : 1,226.70 = 406.62 : x
  2. Step 2: Convert to fraction form
    817.29/1,226.70 = 406.62/x
  3. Step 3: Cross multiply
    817.29x = 1,226.70 × 406.62
  4. Step 4: Simplify right side
    817.29x = 498,800.75
  5. Step 5: Solve for x
    x = 498,800.75/817.29
  6. Step 6: Final answer
    x = 610.31

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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.