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Finding the Fourth Proportional to 967.89, 1,451.85 and 274.58

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Solution

The fourth proportional to 967.89, 1,451.85 and 274.58 is: 411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.89 : 1,451.85 = 274.58 : x
  2. Step 2: Convert to fraction form
    967.89/1,451.85 = 274.58/x
  3. Step 3: Cross multiply
    967.89x = 1,451.85 × 274.58
  4. Step 4: Simplify right side
    967.89x = 398,648.97
  5. Step 5: Solve for x
    x = 398,648.97/967.89
  6. Step 6: Final answer
    x = 411.87

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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.