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Finding the Fourth Proportional to 799.73, 1,199.05 and 409.41

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Solution

The fourth proportional to 799.73, 1,199.05 and 409.41 is: 613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.73 : 1,199.05 = 409.41 : x
  2. Step 2: Convert to fraction form
    799.73/1,199.05 = 409.41/x
  3. Step 3: Cross multiply
    799.73x = 1,199.05 × 409.41
  4. Step 4: Simplify right side
    799.73x = 490,903.06
  5. Step 5: Solve for x
    x = 490,903.06/799.73
  6. Step 6: Final answer
    x = 613.84

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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.