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Finding the Fourth Proportional to 967.16, 1,450.74 and 389.62

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Solution

The fourth proportional to 967.16, 1,450.74 and 389.62 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.16 : 1,450.74 = 389.62 : x
  2. Step 2: Convert to fraction form
    967.16/1,450.74 = 389.62/x
  3. Step 3: Cross multiply
    967.16x = 1,450.74 × 389.62
  4. Step 4: Simplify right side
    967.16x = 565,237.32
  5. Step 5: Solve for x
    x = 565,237.32/967.16
  6. Step 6: Final answer
    x = 584.43

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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.