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Finding the Fourth Proportional to 794.25, 1,191.44 and 447.39

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Solution

The fourth proportional to 794.25, 1,191.44 and 447.39 is: 671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,191.44 = 447.39 : x
  2. Step 2: Convert to fraction form
    794.25/1,191.44 = 447.39/x
  3. Step 3: Cross multiply
    794.25x = 1,191.44 × 447.39
  4. Step 4: Simplify right side
    794.25x = 533,039.46
  5. Step 5: Solve for x
    x = 533,039.46/794.25
  6. Step 6: Final answer
    x = 671.12

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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.