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Finding the Fourth Proportional to 967.26, 1,451.12 and 283.26

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Solution

The fourth proportional to 967.26, 1,451.12 and 283.26 is: 424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.26 : 1,451.12 = 283.26 : x
  2. Step 2: Convert to fraction form
    967.26/1,451.12 = 283.26/x
  3. Step 3: Cross multiply
    967.26x = 1,451.12 × 283.26
  4. Step 4: Simplify right side
    967.26x = 411,044.25
  5. Step 5: Solve for x
    x = 411,044.25/967.26
  6. Step 6: Final answer
    x = 424.96

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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.