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Finding the Fourth Proportional to 812.01, 1,218.06 and 264.27

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Solution

The fourth proportional to 812.01, 1,218.06 and 264.27 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.01 : 1,218.06 = 264.27 : x
  2. Step 2: Convert to fraction form
    812.01/1,218.06 = 264.27/x
  3. Step 3: Cross multiply
    812.01x = 1,218.06 × 264.27
  4. Step 4: Simplify right side
    812.01x = 321,896.72
  5. Step 5: Solve for x
    x = 321,896.72/812.01
  6. Step 6: Final answer
    x = 396.42

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