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Finding the Fourth Proportional to 966.43, 1,449.92 and 381.07

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Solution

The fourth proportional to 966.43, 1,449.92 and 381.07 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.43 : 1,449.92 = 381.07 : x
  2. Step 2: Convert to fraction form
    966.43/1,449.92 = 381.07/x
  3. Step 3: Cross multiply
    966.43x = 1,449.92 × 381.07
  4. Step 4: Simplify right side
    966.43x = 552,515.48
  5. Step 5: Solve for x
    x = 552,515.48/966.43
  6. Step 6: Final answer
    x = 571.71

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Why These Related Problems?

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