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Finding the Fourth Proportional to 641.29, 960.51 and 523.70

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Solution

The fourth proportional to 641.29, 960.51 and 523.70 is: 784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.29 : 960.51 = 523.70 : x
  2. Step 2: Convert to fraction form
    641.29/960.51 = 523.70/x
  3. Step 3: Cross multiply
    641.29x = 960.51 × 523.70
  4. Step 4: Simplify right side
    641.29x = 503,021.49
  5. Step 5: Solve for x
    x = 503,021.49/641.29
  6. Step 6: Final answer
    x = 784.39

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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.