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Finding the Fourth Proportional to 1,447.29, 1,998.81 and 923.63

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Solution

The fourth proportional to 1,447.29, 1,998.81 and 923.63 is: 1,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.29 : 1,998.81 = 923.63 : x
  2. Step 2: Convert to fraction form
    1,447.29/1,998.81 = 923.63/x
  3. Step 3: Cross multiply
    1,447.29x = 1,998.81 × 923.63
  4. Step 4: Simplify right side
    1,447.29x = 1,846,150.89
  5. Step 5: Solve for x
    x = 1,846,150.89/1,447.29
  6. Step 6: Final answer
    x = 1,275.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.