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Finding the Fourth Proportional to 967.93, 1,450.82 and 382.39

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Solution

The fourth proportional to 967.93, 1,450.82 and 382.39 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.93 : 1,450.82 = 382.39 : x
  2. Step 2: Convert to fraction form
    967.93/1,450.82 = 382.39/x
  3. Step 3: Cross multiply
    967.93x = 1,450.82 × 382.39
  4. Step 4: Simplify right side
    967.93x = 554,777.15
  5. Step 5: Solve for x
    x = 554,777.15/967.93
  6. Step 6: Final answer
    x = 573.16

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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.