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Finding the Fourth Proportional to 1,447.77, 1,998.21 and 950.23

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Solution

The fourth proportional to 1,447.77, 1,998.21 and 950.23 is: 1,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.77 : 1,998.21 = 950.23 : x
  2. Step 2: Convert to fraction form
    1,447.77/1,998.21 = 950.23/x
  3. Step 3: Cross multiply
    1,447.77x = 1,998.21 × 950.23
  4. Step 4: Simplify right side
    1,447.77x = 1,898,759.09
  5. Step 5: Solve for x
    x = 1,898,759.09/1,447.77
  6. Step 6: Final answer
    x = 1,311.51

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Why These Related Problems?

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