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Finding the Fourth Proportional to 896.62, 1,237.34 and 523.59

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Solution

The fourth proportional to 896.62, 1,237.34 and 523.59 is: 722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.62 : 1,237.34 = 523.59 : x
  2. Step 2: Convert to fraction form
    896.62/1,237.34 = 523.59/x
  3. Step 3: Cross multiply
    896.62x = 1,237.34 × 523.59
  4. Step 4: Simplify right side
    896.62x = 647,858.85
  5. Step 5: Solve for x
    x = 647,858.85/896.62
  6. Step 6: Final answer
    x = 722.56

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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.