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Finding the Fourth Proportional to 1,224.29, 1,689.84 and 727.08

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Solution

The fourth proportional to 1,224.29, 1,689.84 and 727.08 is: 1,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.29 : 1,689.84 = 727.08 : x
  2. Step 2: Convert to fraction form
    1,224.29/1,689.84 = 727.08/x
  3. Step 3: Cross multiply
    1,224.29x = 1,689.84 × 727.08
  4. Step 4: Simplify right side
    1,224.29x = 1,228,648.87
  5. Step 5: Solve for x
    x = 1,228,648.87/1,224.29
  6. Step 6: Final answer
    x = 1,003.56

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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.