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Finding the Fourth Proportional to 817.10, 1,224.72 and 523.66

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Solution

The fourth proportional to 817.10, 1,224.72 and 523.66 is: 784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.10 : 1,224.72 = 523.66 : x
  2. Step 2: Convert to fraction form
    817.10/1,224.72 = 523.66/x
  3. Step 3: Cross multiply
    817.10x = 1,224.72 × 523.66
  4. Step 4: Simplify right side
    817.10x = 641,336.88
  5. Step 5: Solve for x
    x = 641,336.88/817.10
  6. Step 6: Final answer
    x = 784.89

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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.