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Finding the Fourth Proportional to 946, 1,418.24 and 512.56

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Solution

The fourth proportional to 946, 1,418.24 and 512.56 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,418.24 = 512.56 : x
  2. Step 2: Convert to fraction form
    946/1,418.24 = 512.56/x
  3. Step 3: Cross multiply
    946x = 1,418.24 × 512.56
  4. Step 4: Simplify right side
    946x = 726,933.09
  5. Step 5: Solve for x
    x = 726,933.09/946
  6. Step 6: Final answer
    x = 768.43

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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.