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Finding the Fourth Proportional to 799.89, 1,199.22 and 383.22

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Solution

The fourth proportional to 799.89, 1,199.22 and 383.22 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.89 : 1,199.22 = 383.22 : x
  2. Step 2: Convert to fraction form
    799.89/1,199.22 = 383.22/x
  3. Step 3: Cross multiply
    799.89x = 1,199.22 × 383.22
  4. Step 4: Simplify right side
    799.89x = 459,565.09
  5. Step 5: Solve for x
    x = 459,565.09/799.89
  6. Step 6: Final answer
    x = 574.54

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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.