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Finding the Fourth Proportional to 816.68, 1,223.84 and 523.26

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Solution

The fourth proportional to 816.68, 1,223.84 and 523.26 is: 784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.68 : 1,223.84 = 523.26 : x
  2. Step 2: Convert to fraction form
    816.68/1,223.84 = 523.26/x
  3. Step 3: Cross multiply
    816.68x = 1,223.84 × 523.26
  4. Step 4: Simplify right side
    816.68x = 640,383.90
  5. Step 5: Solve for x
    x = 640,383.90/816.68
  6. Step 6: Final answer
    x = 784.14

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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.