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Finding the Fourth Proportional to 944.81, 1,418.43 and 512.27

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Solution

The fourth proportional to 944.81, 1,418.43 and 512.27 is: 769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.81 : 1,418.43 = 512.27 : x
  2. Step 2: Convert to fraction form
    944.81/1,418.43 = 512.27/x
  3. Step 3: Cross multiply
    944.81x = 1,418.43 × 512.27
  4. Step 4: Simplify right side
    944.81x = 726,619.14
  5. Step 5: Solve for x
    x = 726,619.14/944.81
  6. Step 6: Final answer
    x = 769.06

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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.