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Finding the Fourth Proportional to 811.01, 1,216.94 and 324.06

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Solution

The fourth proportional to 811.01, 1,216.94 and 324.06 is: 486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.01 : 1,216.94 = 324.06 : x
  2. Step 2: Convert to fraction form
    811.01/1,216.94 = 324.06/x
  3. Step 3: Cross multiply
    811.01x = 1,216.94 × 324.06
  4. Step 4: Simplify right side
    811.01x = 394,359.96
  5. Step 5: Solve for x
    x = 394,359.96/811.01
  6. Step 6: Final answer
    x = 486.26

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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.