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Finding the Fourth Proportional to 799.08, 1,197.84 and 409.08

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Solution

The fourth proportional to 799.08, 1,197.84 and 409.08 is: 613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,197.84 = 409.08 : x
  2. Step 2: Convert to fraction form
    799.08/1,197.84 = 409.08/x
  3. Step 3: Cross multiply
    799.08x = 1,197.84 × 409.08
  4. Step 4: Simplify right side
    799.08x = 490,012.39
  5. Step 5: Solve for x
    x = 490,012.39/799.08
  6. Step 6: Final answer
    x = 613.22

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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.