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Finding the Fourth Proportional to 1,264.32, 1,896.99 and 443.19

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Solution

The fourth proportional to 1,264.32, 1,896.99 and 443.19 is: 664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.32 : 1,896.99 = 443.19 : x
  2. Step 2: Convert to fraction form
    1,264.32/1,896.99 = 443.19/x
  3. Step 3: Cross multiply
    1,264.32x = 1,896.99 × 443.19
  4. Step 4: Simplify right side
    1,264.32x = 840,717.51
  5. Step 5: Solve for x
    x = 840,717.51/1,264.32
  6. Step 6: Final answer
    x = 664.95

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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.