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Finding the Fourth Proportional to 812.22, 1,219.20 and 659.99

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Solution

The fourth proportional to 812.22, 1,219.20 and 659.99 is: 990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.22 : 1,219.20 = 659.99 : x
  2. Step 2: Convert to fraction form
    812.22/1,219.20 = 659.99/x
  3. Step 3: Cross multiply
    812.22x = 1,219.20 × 659.99
  4. Step 4: Simplify right side
    812.22x = 804,650.41
  5. Step 5: Solve for x
    x = 804,650.41/812.22
  6. Step 6: Final answer
    x = 990.68

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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.