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Finding the Fourth Proportional to 699.74, 965.79 and 463.73

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Solution

The fourth proportional to 699.74, 965.79 and 463.73 is: 640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.74 : 965.79 = 463.73 : x
  2. Step 2: Convert to fraction form
    699.74/965.79 = 463.73/x
  3. Step 3: Cross multiply
    699.74x = 965.79 × 463.73
  4. Step 4: Simplify right side
    699.74x = 447,860.97
  5. Step 5: Solve for x
    x = 447,860.97/699.74
  6. Step 6: Final answer
    x = 640.04

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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.