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Finding the Fourth Proportional to 967.43, 1,451.42 and 382.07

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Solution

The fourth proportional to 967.43, 1,451.42 and 382.07 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.43 : 1,451.42 = 382.07 : x
  2. Step 2: Convert to fraction form
    967.43/1,451.42 = 382.07/x
  3. Step 3: Cross multiply
    967.43x = 1,451.42 × 382.07
  4. Step 4: Simplify right side
    967.43x = 554,544.04
  5. Step 5: Solve for x
    x = 554,544.04/967.43
  6. Step 6: Final answer
    x = 573.21

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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.