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Finding the Fourth Proportional to 664.11, 996.17 and 511.02

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Solution

The fourth proportional to 664.11, 996.17 and 511.02 is: 766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.11 : 996.17 = 511.02 : x
  2. Step 2: Convert to fraction form
    664.11/996.17 = 511.02/x
  3. Step 3: Cross multiply
    664.11x = 996.17 × 511.02
  4. Step 4: Simplify right side
    664.11x = 509,060.24
  5. Step 5: Solve for x
    x = 509,060.24/664.11
  6. Step 6: Final answer
    x = 766.53

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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.