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Finding the Fourth Proportional to 811.93, 1,218.47 and 325.09

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Solution

The fourth proportional to 811.93, 1,218.47 and 325.09 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.93 : 1,218.47 = 325.09 : x
  2. Step 2: Convert to fraction form
    811.93/1,218.47 = 325.09/x
  3. Step 3: Cross multiply
    811.93x = 1,218.47 × 325.09
  4. Step 4: Simplify right side
    811.93x = 396,112.41
  5. Step 5: Solve for x
    x = 396,112.41/811.93
  6. Step 6: Final answer
    x = 487.87

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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.