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Finding the Fourth Proportional to 994.45, 1,494.66 and 822.22

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Solution

The fourth proportional to 994.45, 1,494.66 and 822.22 is: 1,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.45 : 1,494.66 = 822.22 : x
  2. Step 2: Convert to fraction form
    994.45/1,494.66 = 822.22/x
  3. Step 3: Cross multiply
    994.45x = 1,494.66 × 822.22
  4. Step 4: Simplify right side
    994.45x = 1,228,938.69
  5. Step 5: Solve for x
    x = 1,228,938.69/994.45
  6. Step 6: Final answer
    x = 1,235.80

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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.