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Finding the Fourth Proportional to 799.94, 1,199.76 and 272.88

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Solution

The fourth proportional to 799.94, 1,199.76 and 272.88 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.94 : 1,199.76 = 272.88 : x
  2. Step 2: Convert to fraction form
    799.94/1,199.76 = 272.88/x
  3. Step 3: Cross multiply
    799.94x = 1,199.76 × 272.88
  4. Step 4: Simplify right side
    799.94x = 327,385.19
  5. Step 5: Solve for x
    x = 327,385.19/799.94
  6. Step 6: Final answer
    x = 409.26

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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.