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Finding the Fourth Proportional to 813.68, 1,218.12 and 539

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Solution

The fourth proportional to 813.68, 1,218.12 and 539 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,218.12 = 539 : x
  2. Step 2: Convert to fraction form
    813.68/1,218.12 = 539/x
  3. Step 3: Cross multiply
    813.68x = 1,218.12 × 539
  4. Step 4: Simplify right side
    813.68x = 656,566.68
  5. Step 5: Solve for x
    x = 656,566.68/813.68
  6. Step 6: Final answer
    x = 806.91

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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.