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Finding the Fourth Proportional to 817.85, 1,226.07 and 407.18

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Solution

The fourth proportional to 817.85, 1,226.07 and 407.18 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.85 : 1,226.07 = 407.18 : x
  2. Step 2: Convert to fraction form
    817.85/1,226.07 = 407.18/x
  3. Step 3: Cross multiply
    817.85x = 1,226.07 × 407.18
  4. Step 4: Simplify right side
    817.85x = 499,234.25
  5. Step 5: Solve for x
    x = 499,234.25/817.85
  6. Step 6: Final answer
    x = 610.42

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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.