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Finding the Fourth Proportional to 1,224.63, 1,689.89 and 727.39

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Solution

The fourth proportional to 1,224.63, 1,689.89 and 727.39 is: 1,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.63 : 1,689.89 = 727.39 : x
  2. Step 2: Convert to fraction form
    1,224.63/1,689.89 = 727.39/x
  3. Step 3: Cross multiply
    1,224.63x = 1,689.89 × 727.39
  4. Step 4: Simplify right side
    1,224.63x = 1,229,209.09
  5. Step 5: Solve for x
    x = 1,229,209.09/1,224.63
  6. Step 6: Final answer
    x = 1,003.74

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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.