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Finding the Fourth Proportional to 966.57, 1,449.90 and 389.43

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Solution

The fourth proportional to 966.57, 1,449.90 and 389.43 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.57 : 1,449.90 = 389.43 : x
  2. Step 2: Convert to fraction form
    966.57/1,449.90 = 389.43/x
  3. Step 3: Cross multiply
    966.57x = 1,449.90 × 389.43
  4. Step 4: Simplify right side
    966.57x = 564,634.56
  5. Step 5: Solve for x
    x = 564,634.56/966.57
  6. Step 6: Final answer
    x = 584.16

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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.