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Finding the Fourth Proportional to 896.52, 1,236.26 and 581.42

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Solution

The fourth proportional to 896.52, 1,236.26 and 581.42 is: 801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.52 : 1,236.26 = 581.42 : x
  2. Step 2: Convert to fraction form
    896.52/1,236.26 = 581.42/x
  3. Step 3: Cross multiply
    896.52x = 1,236.26 × 581.42
  4. Step 4: Simplify right side
    896.52x = 718,786.29
  5. Step 5: Solve for x
    x = 718,786.29/896.52
  6. Step 6: Final answer
    x = 801.75

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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.