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Finding the Fourth Proportional to 817.12, 1,224.89 and 523.79

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Solution

The fourth proportional to 817.12, 1,224.89 and 523.79 is: 785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.12 : 1,224.89 = 523.79 : x
  2. Step 2: Convert to fraction form
    817.12/1,224.89 = 523.79/x
  3. Step 3: Cross multiply
    817.12x = 1,224.89 × 523.79
  4. Step 4: Simplify right side
    817.12x = 641,585.13
  5. Step 5: Solve for x
    x = 641,585.13/817.12
  6. Step 6: Final answer
    x = 785.18

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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.