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Finding the Fourth Proportional to 896.21, 1,236.74 and 523.23

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Solution

The fourth proportional to 896.21, 1,236.74 and 523.23 is: 722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.21 : 1,236.74 = 523.23 : x
  2. Step 2: Convert to fraction form
    896.21/1,236.74 = 523.23/x
  3. Step 3: Cross multiply
    896.21x = 1,236.74 × 523.23
  4. Step 4: Simplify right side
    896.21x = 647,095.93
  5. Step 5: Solve for x
    x = 647,095.93/896.21
  6. Step 6: Final answer
    x = 722.03

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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.