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Finding the Fourth Proportional to 892.91, 1,232.24 and 561.21

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Solution

The fourth proportional to 892.91, 1,232.24 and 561.21 is: 774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,232.24 = 561.21 : x
  2. Step 2: Convert to fraction form
    892.91/1,232.24 = 561.21/x
  3. Step 3: Cross multiply
    892.91x = 1,232.24 × 561.21
  4. Step 4: Simplify right side
    892.91x = 691,542.60
  5. Step 5: Solve for x
    x = 691,542.60/892.91
  6. Step 6: Final answer
    x = 774.49

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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.