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Finding the Fourth Proportional to 896.33, 1,236.82 and 523.22

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Solution

The fourth proportional to 896.33, 1,236.82 and 523.22 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,236.82 = 523.22 : x
  2. Step 2: Convert to fraction form
    896.33/1,236.82 = 523.22/x
  3. Step 3: Cross multiply
    896.33x = 1,236.82 × 523.22
  4. Step 4: Simplify right side
    896.33x = 647,128.96
  5. Step 5: Solve for x
    x = 647,128.96/896.33
  6. Step 6: Final answer
    x = 721.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.