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Finding the Fourth Proportional to 967.22, 1,451.04 and 411.90

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Solution

The fourth proportional to 967.22, 1,451.04 and 411.90 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.22 : 1,451.04 = 411.90 : x
  2. Step 2: Convert to fraction form
    967.22/1,451.04 = 411.90/x
  3. Step 3: Cross multiply
    967.22x = 1,451.04 × 411.90
  4. Step 4: Simplify right side
    967.22x = 597,683.38
  5. Step 5: Solve for x
    x = 597,683.38/967.22
  6. Step 6: Final answer
    x = 617.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.