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Finding the Fourth Proportional to 664.98, 994.86 and 511.44

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Solution

The fourth proportional to 664.98, 994.86 and 511.44 is: 765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 994.86 = 511.44 : x
  2. Step 2: Convert to fraction form
    664.98/994.86 = 511.44/x
  3. Step 3: Cross multiply
    664.98x = 994.86 × 511.44
  4. Step 4: Simplify right side
    664.98x = 508,811.20
  5. Step 5: Solve for x
    x = 508,811.20/664.98
  6. Step 6: Final answer
    x = 765.15

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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.