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Finding the Fourth Proportional to 896.27, 1,237.01 and 523.46

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Solution

The fourth proportional to 896.27, 1,237.01 and 523.46 is: 722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.27 : 1,237.01 = 523.46 : x
  2. Step 2: Convert to fraction form
    896.27/1,237.01 = 523.46/x
  3. Step 3: Cross multiply
    896.27x = 1,237.01 × 523.46
  4. Step 4: Simplify right side
    896.27x = 647,525.73
  5. Step 5: Solve for x
    x = 647,525.73/896.27
  6. Step 6: Final answer
    x = 722.47

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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.