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Finding the Fourth Proportional to 799.36, 1,200.41 and 493.02

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Solution

The fourth proportional to 799.36, 1,200.41 and 493.02 is: 740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.36 : 1,200.41 = 493.02 : x
  2. Step 2: Convert to fraction form
    799.36/1,200.41 = 493.02/x
  3. Step 3: Cross multiply
    799.36x = 1,200.41 × 493.02
  4. Step 4: Simplify right side
    799.36x = 591,826.14
  5. Step 5: Solve for x
    x = 591,826.14/799.36
  6. Step 6: Final answer
    x = 740.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.