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Finding the Fourth Proportional to 967.50, 1,451.24 and 274.16

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Solution

The fourth proportional to 967.50, 1,451.24 and 274.16 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.50 : 1,451.24 = 274.16 : x
  2. Step 2: Convert to fraction form
    967.50/1,451.24 = 274.16/x
  3. Step 3: Cross multiply
    967.50x = 1,451.24 × 274.16
  4. Step 4: Simplify right side
    967.50x = 397,863.33
  5. Step 5: Solve for x
    x = 397,863.33/967.50
  6. Step 6: Final answer
    x = 411.23

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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.