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Finding the Fourth Proportional to 967.39, 1,451.45 and 382.68

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Solution

The fourth proportional to 967.39, 1,451.45 and 382.68 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.39 : 1,451.45 = 382.68 : x
  2. Step 2: Convert to fraction form
    967.39/1,451.45 = 382.68/x
  3. Step 3: Cross multiply
    967.39x = 1,451.45 × 382.68
  4. Step 4: Simplify right side
    967.39x = 555,440.89
  5. Step 5: Solve for x
    x = 555,440.89/967.39
  6. Step 6: Final answer
    x = 574.16

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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.