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Finding the Fourth Proportional to 1,192.44, 1,645.86 and 727.08

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Solution

The fourth proportional to 1,192.44, 1,645.86 and 727.08 is: 1,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.44 : 1,645.86 = 727.08 : x
  2. Step 2: Convert to fraction form
    1,192.44/1,645.86 = 727.08/x
  3. Step 3: Cross multiply
    1,192.44x = 1,645.86 × 727.08
  4. Step 4: Simplify right side
    1,192.44x = 1,196,671.89
  5. Step 5: Solve for x
    x = 1,196,671.89/1,192.44
  6. Step 6: Final answer
    x = 1,003.55

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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.