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Finding the Fourth Proportional to 699.23, 965.81 and 512.44

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Solution

The fourth proportional to 699.23, 965.81 and 512.44 is: 707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 965.81 = 512.44 : x
  2. Step 2: Convert to fraction form
    699.23/965.81 = 512.44/x
  3. Step 3: Cross multiply
    699.23x = 965.81 × 512.44
  4. Step 4: Simplify right side
    699.23x = 494,919.68
  5. Step 5: Solve for x
    x = 494,919.68/699.23
  6. Step 6: Final answer
    x = 707.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.