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Finding the Fourth Proportional to 896.11, 1,236.77 and 523.30

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Solution

The fourth proportional to 896.11, 1,236.77 and 523.30 is: 722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,236.77 = 523.30 : x
  2. Step 2: Convert to fraction form
    896.11/1,236.77 = 523.30/x
  3. Step 3: Cross multiply
    896.11x = 1,236.77 × 523.30
  4. Step 4: Simplify right side
    896.11x = 647,201.74
  5. Step 5: Solve for x
    x = 647,201.74/896.11
  6. Step 6: Final answer
    x = 722.23

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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.