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Finding the Fourth Proportional to 817.37, 1,223.62 and 788.21

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Solution

The fourth proportional to 817.37, 1,223.62 and 788.21 is: 1,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.37 : 1,223.62 = 788.21 : x
  2. Step 2: Convert to fraction form
    817.37/1,223.62 = 788.21/x
  3. Step 3: Cross multiply
    817.37x = 1,223.62 × 788.21
  4. Step 4: Simplify right side
    817.37x = 964,469.52
  5. Step 5: Solve for x
    x = 964,469.52/817.37
  6. Step 6: Final answer
    x = 1,179.97

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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.