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Finding the Fourth Proportional to 896.37, 1,237.19 and 523.37

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Solution

The fourth proportional to 896.37, 1,237.19 and 523.37 is: 722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.37 : 1,237.19 = 523.37 : x
  2. Step 2: Convert to fraction form
    896.37/1,237.19 = 523.37/x
  3. Step 3: Cross multiply
    896.37x = 1,237.19 × 523.37
  4. Step 4: Simplify right side
    896.37x = 647,499.33
  5. Step 5: Solve for x
    x = 647,499.33/896.37
  6. Step 6: Final answer
    x = 722.36

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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.