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Finding the Fourth Proportional to 1,379.43, 2,063.99 and 822.11

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Solution

The fourth proportional to 1,379.43, 2,063.99 and 822.11 is: 1,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.43 : 2,063.99 = 822.11 : x
  2. Step 2: Convert to fraction form
    1,379.43/2,063.99 = 822.11/x
  3. Step 3: Cross multiply
    1,379.43x = 2,063.99 × 822.11
  4. Step 4: Simplify right side
    1,379.43x = 1,696,818.55
  5. Step 5: Solve for x
    x = 1,696,818.55/1,379.43
  6. Step 6: Final answer
    x = 1,230.09

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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.