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Finding the Fourth Proportional to 812.11, 1,216.56 and 537.37

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Solution

The fourth proportional to 812.11, 1,216.56 and 537.37 is: 804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.11 : 1,216.56 = 537.37 : x
  2. Step 2: Convert to fraction form
    812.11/1,216.56 = 537.37/x
  3. Step 3: Cross multiply
    812.11x = 1,216.56 × 537.37
  4. Step 4: Simplify right side
    812.11x = 653,734.08
  5. Step 5: Solve for x
    x = 653,734.08/812.11
  6. Step 6: Final answer
    x = 804.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.