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Finding the Fourth Proportional to 863.85, 1,294.91 and 447.24

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Solution

The fourth proportional to 863.85, 1,294.91 and 447.24 is: 670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.85 : 1,294.91 = 447.24 : x
  2. Step 2: Convert to fraction form
    863.85/1,294.91 = 447.24/x
  3. Step 3: Cross multiply
    863.85x = 1,294.91 × 447.24
  4. Step 4: Simplify right side
    863.85x = 579,133.31
  5. Step 5: Solve for x
    x = 579,133.31/863.85
  6. Step 6: Final answer
    x = 670.41

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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.