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Finding the Fourth Proportional to 813.70, 1,221.15 and 539.69

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Solution

The fourth proportional to 813.70, 1,221.15 and 539.69 is: 809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.70 : 1,221.15 = 539.69 : x
  2. Step 2: Convert to fraction form
    813.70/1,221.15 = 539.69/x
  3. Step 3: Cross multiply
    813.70x = 1,221.15 × 539.69
  4. Step 4: Simplify right side
    813.70x = 659,042.44
  5. Step 5: Solve for x
    x = 659,042.44/813.70
  6. Step 6: Final answer
    x = 809.94

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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.