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Finding the Fourth Proportional to 1,963.44, 2,945.63 and 664.88

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Solution

The fourth proportional to 1,963.44, 2,945.63 and 664.88 is: 997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.44 : 2,945.63 = 664.88 : x
  2. Step 2: Convert to fraction form
    1,963.44/2,945.63 = 664.88/x
  3. Step 3: Cross multiply
    1,963.44x = 2,945.63 × 664.88
  4. Step 4: Simplify right side
    1,963.44x = 1,958,477.41
  5. Step 5: Solve for x
    x = 1,958,477.41/1,963.44
  6. Step 6: Final answer
    x = 997.47

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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.