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Finding the Fourth Proportional to 794.92, 1,190.84 and 447.20

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Solution

The fourth proportional to 794.92, 1,190.84 and 447.20 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,190.84 = 447.20 : x
  2. Step 2: Convert to fraction form
    794.92/1,190.84 = 447.20/x
  3. Step 3: Cross multiply
    794.92x = 1,190.84 × 447.20
  4. Step 4: Simplify right side
    794.92x = 532,544.12
  5. Step 5: Solve for x
    x = 532,544.12/794.92
  6. Step 6: Final answer
    x = 669.93

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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.