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Finding the Fourth Proportional to 896.97, 1,238.24 and 523.82

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Solution

The fourth proportional to 896.97, 1,238.24 and 523.82 is: 723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.97 : 1,238.24 = 523.82 : x
  2. Step 2: Convert to fraction form
    896.97/1,238.24 = 523.82/x
  3. Step 3: Cross multiply
    896.97x = 1,238.24 × 523.82
  4. Step 4: Simplify right side
    896.97x = 648,609.37
  5. Step 5: Solve for x
    x = 648,609.37/896.97
  6. Step 6: Final answer
    x = 723.11

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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.