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Finding the Fourth Proportional to 1,445.28, 2,169 and 796.56

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Solution

The fourth proportional to 1,445.28, 2,169 and 796.56 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.28 : 2,169 = 796.56 : x
  2. Step 2: Convert to fraction form
    1,445.28/2,169 = 796.56/x
  3. Step 3: Cross multiply
    1,445.28x = 2,169 × 796.56
  4. Step 4: Simplify right side
    1,445.28x = 1,727,738.64
  5. Step 5: Solve for x
    x = 1,727,738.64/1,445.28
  6. Step 6: Final answer
    x = 1,195.44

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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.