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Finding the Fourth Proportional to 800.02, 1,199.12 and 279.52

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Solution

The fourth proportional to 800.02, 1,199.12 and 279.52 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,199.12 = 279.52 : x
  2. Step 2: Convert to fraction form
    800.02/1,199.12 = 279.52/x
  3. Step 3: Cross multiply
    800.02x = 1,199.12 × 279.52
  4. Step 4: Simplify right side
    800.02x = 335,178.02
  5. Step 5: Solve for x
    x = 335,178.02/800.02
  6. Step 6: Final answer
    x = 418.96

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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.