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Finding the Fourth Proportional to 951.63, 1,427.43 and 513.09

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Solution

The fourth proportional to 951.63, 1,427.43 and 513.09 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.63 : 1,427.43 = 513.09 : x
  2. Step 2: Convert to fraction form
    951.63/1,427.43 = 513.09/x
  3. Step 3: Cross multiply
    951.63x = 1,427.43 × 513.09
  4. Step 4: Simplify right side
    951.63x = 732,392.92
  5. Step 5: Solve for x
    x = 732,392.92/951.63
  6. Step 6: Final answer
    x = 769.62

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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.