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Finding the Fourth Proportional to 799.83, 1,199.79 and 272.82

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Solution

The fourth proportional to 799.83, 1,199.79 and 272.82 is: 409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.83 : 1,199.79 = 272.82 : x
  2. Step 2: Convert to fraction form
    799.83/1,199.79 = 272.82/x
  3. Step 3: Cross multiply
    799.83x = 1,199.79 × 272.82
  4. Step 4: Simplify right side
    799.83x = 327,326.71
  5. Step 5: Solve for x
    x = 327,326.71/799.83
  6. Step 6: Final answer
    x = 409.25

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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.