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Finding the Fourth Proportional to 817.57, 1,225.42 and 406.99

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Solution

The fourth proportional to 817.57, 1,225.42 and 406.99 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.57 : 1,225.42 = 406.99 : x
  2. Step 2: Convert to fraction form
    817.57/1,225.42 = 406.99/x
  3. Step 3: Cross multiply
    817.57x = 1,225.42 × 406.99
  4. Step 4: Simplify right side
    817.57x = 498,731.65
  5. Step 5: Solve for x
    x = 498,731.65/817.57
  6. Step 6: Final answer
    x = 610.02

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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.