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Finding the Fourth Proportional to 799.06, 1,197.96 and 336.55

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Solution

The fourth proportional to 799.06, 1,197.96 and 336.55 is: 504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.06 : 1,197.96 = 336.55 : x
  2. Step 2: Convert to fraction form
    799.06/1,197.96 = 336.55/x
  3. Step 3: Cross multiply
    799.06x = 1,197.96 × 336.55
  4. Step 4: Simplify right side
    799.06x = 403,173.44
  5. Step 5: Solve for x
    x = 403,173.44/799.06
  6. Step 6: Final answer
    x = 504.56

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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.