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Finding the Fourth Proportional to 1,120.75, 1,546.22 and 727.63

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Solution

The fourth proportional to 1,120.75, 1,546.22 and 727.63 is: 1,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.75 : 1,546.22 = 727.63 : x
  2. Step 2: Convert to fraction form
    1,120.75/1,546.22 = 727.63/x
  3. Step 3: Cross multiply
    1,120.75x = 1,546.22 × 727.63
  4. Step 4: Simplify right side
    1,120.75x = 1,125,064.69
  5. Step 5: Solve for x
    x = 1,125,064.69/1,120.75
  6. Step 6: Final answer
    x = 1,003.85

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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.