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Finding the Fourth Proportional to 799.42, 1,199.04 and 222.34

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Solution

The fourth proportional to 799.42, 1,199.04 and 222.34 is: 333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.42 : 1,199.04 = 222.34 : x
  2. Step 2: Convert to fraction form
    799.42/1,199.04 = 222.34/x
  3. Step 3: Cross multiply
    799.42x = 1,199.04 × 222.34
  4. Step 4: Simplify right side
    799.42x = 266,594.55
  5. Step 5: Solve for x
    x = 266,594.55/799.42
  6. Step 6: Final answer
    x = 333.48

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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.