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Finding the Fourth Proportional to 799, 1,198.61 and 278.93

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Solution

The fourth proportional to 799, 1,198.61 and 278.93 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    799 : 1,198.61 = 278.93 : x
  2. Step 2: Convert to fraction form
    799/1,198.61 = 278.93/x
  3. Step 3: Cross multiply
    799x = 1,198.61 × 278.93
  4. Step 4: Simplify right side
    799x = 334,322.29
  5. Step 5: Solve for x
    x = 334,322.29/799
  6. Step 6: Final answer
    x = 418.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.