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Finding the Fourth Proportional to 799.26, 1,197.90 and 409.02

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Solution

The fourth proportional to 799.26, 1,197.90 and 409.02 is: 613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.26 : 1,197.90 = 409.02 : x
  2. Step 2: Convert to fraction form
    799.26/1,197.90 = 409.02/x
  3. Step 3: Cross multiply
    799.26x = 1,197.90 × 409.02
  4. Step 4: Simplify right side
    799.26x = 489,965.06
  5. Step 5: Solve for x
    x = 489,965.06/799.26
  6. Step 6: Final answer
    x = 613.02

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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.