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Finding the Fourth Proportional to 967.94, 1,451.94 and 391.22

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Solution

The fourth proportional to 967.94, 1,451.94 and 391.22 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.94 : 1,451.94 = 391.22 : x
  2. Step 2: Convert to fraction form
    967.94/1,451.94 = 391.22/x
  3. Step 3: Cross multiply
    967.94x = 1,451.94 × 391.22
  4. Step 4: Simplify right side
    967.94x = 568,027.97
  5. Step 5: Solve for x
    x = 568,027.97/967.94
  6. Step 6: Final answer
    x = 586.84

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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.