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Finding the Fourth Proportional to 794.17, 1,190.73 and 447.55

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Solution

The fourth proportional to 794.17, 1,190.73 and 447.55 is: 671.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.17 : 1,190.73 = 447.55 : x
  2. Step 2: Convert to fraction form
    794.17/1,190.73 = 447.55/x
  3. Step 3: Cross multiply
    794.17x = 1,190.73 × 447.55
  4. Step 4: Simplify right side
    794.17x = 532,911.21
  5. Step 5: Solve for x
    x = 532,911.21/794.17
  6. Step 6: Final answer
    x = 671.03

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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.