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Finding the Fourth Proportional to 642.38, 963.64 and 512.38

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Solution

The fourth proportional to 642.38, 963.64 and 512.38 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.38 : 963.64 = 512.38 : x
  2. Step 2: Convert to fraction form
    642.38/963.64 = 512.38/x
  3. Step 3: Cross multiply
    642.38x = 963.64 × 512.38
  4. Step 4: Simplify right side
    642.38x = 493,749.86
  5. Step 5: Solve for x
    x = 493,749.86/642.38
  6. Step 6: Final answer
    x = 768.63

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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.