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Finding the Fourth Proportional to 1,433.25, 2,150.69 and 663.75

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Solution

The fourth proportional to 1,433.25, 2,150.69 and 663.75 is: 996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.25 : 2,150.69 = 663.75 : x
  2. Step 2: Convert to fraction form
    1,433.25/2,150.69 = 663.75/x
  3. Step 3: Cross multiply
    1,433.25x = 2,150.69 × 663.75
  4. Step 4: Simplify right side
    1,433.25x = 1,427,517.17
  5. Step 5: Solve for x
    x = 1,427,517.17/1,433.25
  6. Step 6: Final answer
    x = 996.00

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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.