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Finding the Fourth Proportional to 967.72, 1,451.82 and 274.38

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Solution

The fourth proportional to 967.72, 1,451.82 and 274.38 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.72 : 1,451.82 = 274.38 : x
  2. Step 2: Convert to fraction form
    967.72/1,451.82 = 274.38/x
  3. Step 3: Cross multiply
    967.72x = 1,451.82 × 274.38
  4. Step 4: Simplify right side
    967.72x = 398,350.37
  5. Step 5: Solve for x
    x = 398,350.37/967.72
  6. Step 6: Final answer
    x = 411.64

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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.