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Finding the Fourth Proportional to 952.07, 1,428.17 and 512.78

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Solution

The fourth proportional to 952.07, 1,428.17 and 512.78 is: 769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.07 : 1,428.17 = 512.78 : x
  2. Step 2: Convert to fraction form
    952.07/1,428.17 = 512.78/x
  3. Step 3: Cross multiply
    952.07x = 1,428.17 × 512.78
  4. Step 4: Simplify right side
    952.07x = 732,327.31
  5. Step 5: Solve for x
    x = 732,327.31/952.07
  6. Step 6: Final answer
    x = 769.20

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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.