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Finding the Fourth Proportional to 1,331.25, 1,997.36 and 965.40

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Solution

The fourth proportional to 1,331.25, 1,997.36 and 965.40 is: 1,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.25 : 1,997.36 = 965.40 : x
  2. Step 2: Convert to fraction form
    1,331.25/1,997.36 = 965.40/x
  3. Step 3: Cross multiply
    1,331.25x = 1,997.36 × 965.40
  4. Step 4: Simplify right side
    1,331.25x = 1,928,246.52
  5. Step 5: Solve for x
    x = 1,928,246.52/1,331.25
  6. Step 6: Final answer
    x = 1,448.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.