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Finding the Fourth Proportional to 896.82, 1,237.92 and 565.23

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Solution

The fourth proportional to 896.82, 1,237.92 and 565.23 is: 780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.82 : 1,237.92 = 565.23 : x
  2. Step 2: Convert to fraction form
    896.82/1,237.92 = 565.23/x
  3. Step 3: Cross multiply
    896.82x = 1,237.92 × 565.23
  4. Step 4: Simplify right side
    896.82x = 699,709.52
  5. Step 5: Solve for x
    x = 699,709.52/896.82
  6. Step 6: Final answer
    x = 780.21

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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.