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Finding the Fourth Proportional to 1,963.59, 2,945.31 and 665.06

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Solution

The fourth proportional to 1,963.59, 2,945.31 and 665.06 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.59 : 2,945.31 = 665.06 : x
  2. Step 2: Convert to fraction form
    1,963.59/2,945.31 = 665.06/x
  3. Step 3: Cross multiply
    1,963.59x = 2,945.31 × 665.06
  4. Step 4: Simplify right side
    1,963.59x = 1,958,798.84
  5. Step 5: Solve for x
    x = 1,958,798.84/1,963.59
  6. Step 6: Final answer
    x = 997.56

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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.