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Finding the Fourth Proportional to 816.43, 1,223.86 and 523.11

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Solution

The fourth proportional to 816.43, 1,223.86 and 523.11 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.43 : 1,223.86 = 523.11 : x
  2. Step 2: Convert to fraction form
    816.43/1,223.86 = 523.11/x
  3. Step 3: Cross multiply
    816.43x = 1,223.86 × 523.11
  4. Step 4: Simplify right side
    816.43x = 640,210.78
  5. Step 5: Solve for x
    x = 640,210.78/816.43
  6. Step 6: Final answer
    x = 784.16

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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.