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Finding the Fourth Proportional to 699.50, 964.24 and 512.73

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Solution

The fourth proportional to 699.50, 964.24 and 512.73 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.50 : 964.24 = 512.73 : x
  2. Step 2: Convert to fraction form
    699.50/964.24 = 512.73/x
  3. Step 3: Cross multiply
    699.50x = 964.24 × 512.73
  4. Step 4: Simplify right side
    699.50x = 494,393.49
  5. Step 5: Solve for x
    x = 494,393.49/699.50
  6. Step 6: Final answer
    x = 706.78

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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.