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Finding the Fourth Proportional to 1,446.12, 2,168.24 and 797.31

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Solution

The fourth proportional to 1,446.12, 2,168.24 and 797.31 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.12 : 2,168.24 = 797.31 : x
  2. Step 2: Convert to fraction form
    1,446.12/2,168.24 = 797.31/x
  3. Step 3: Cross multiply
    1,446.12x = 2,168.24 × 797.31
  4. Step 4: Simplify right side
    1,446.12x = 1,728,755.45
  5. Step 5: Solve for x
    x = 1,728,755.45/1,446.12
  6. Step 6: Final answer
    x = 1,195.44

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1.5x scale

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.