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Finding the Fourth Proportional to 1,199.75, 1,655.73 and 727.74

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Solution

The fourth proportional to 1,199.75, 1,655.73 and 727.74 is: 1,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.75 : 1,655.73 = 727.74 : x
  2. Step 2: Convert to fraction form
    1,199.75/1,655.73 = 727.74/x
  3. Step 3: Cross multiply
    1,199.75x = 1,655.73 × 727.74
  4. Step 4: Simplify right side
    1,199.75x = 1,204,940.95
  5. Step 5: Solve for x
    x = 1,204,940.95/1,199.75
  6. Step 6: Final answer
    x = 1,004.33

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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.