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Finding the Fourth Proportional to 813.24, 1,218.44 and 539.87

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Solution

The fourth proportional to 813.24, 1,218.44 and 539.87 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.24 : 1,218.44 = 539.87 : x
  2. Step 2: Convert to fraction form
    813.24/1,218.44 = 539.87/x
  3. Step 3: Cross multiply
    813.24x = 1,218.44 × 539.87
  4. Step 4: Simplify right side
    813.24x = 657,794.46
  5. Step 5: Solve for x
    x = 657,794.46/813.24
  6. Step 6: Final answer
    x = 808.86

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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.