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Finding the Fourth Proportional to 817.12, 1,223.24 and 686.44

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Solution

The fourth proportional to 817.12, 1,223.24 and 686.44 is: 1,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,223.24 = 686.44 : x
  2. Step 2: Convert to fraction form
    817.12/1,223.24 = 686.44/x
  3. Step 3: Cross multiply
    817.12x = 1,223.24 × 686.44
  4. Step 4: Simplify right side
    817.12x = 839,680.87
  5. Step 5: Solve for x
    x = 839,680.87/817.12
  6. Step 6: Final answer
    x = 1,027.61

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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.