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Finding the Fourth Proportional to 1,199.41, 1,799.08 and 333.72

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Solution

The fourth proportional to 1,199.41, 1,799.08 and 333.72 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.41 : 1,799.08 = 333.72 : x
  2. Step 2: Convert to fraction form
    1,199.41/1,799.08 = 333.72/x
  3. Step 3: Cross multiply
    1,199.41x = 1,799.08 × 333.72
  4. Step 4: Simplify right side
    1,199.41x = 600,388.14
  5. Step 5: Solve for x
    x = 600,388.14/1,199.41
  6. Step 6: Final answer
    x = 500.57

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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.