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Finding the Fourth Proportional to 816.26, 1,223.44 and 523.91

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Solution

The fourth proportional to 816.26, 1,223.44 and 523.91 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,223.44 = 523.91 : x
  2. Step 2: Convert to fraction form
    816.26/1,223.44 = 523.91/x
  3. Step 3: Cross multiply
    816.26x = 1,223.44 × 523.91
  4. Step 4: Simplify right side
    816.26x = 640,974.20
  5. Step 5: Solve for x
    x = 640,974.20/816.26
  6. Step 6: Final answer
    x = 785.26

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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.