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Finding the Fourth Proportional to 1,199.66, 1,655.96 and 727.37

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Solution

The fourth proportional to 1,199.66, 1,655.96 and 727.37 is: 1,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.66 : 1,655.96 = 727.37 : x
  2. Step 2: Convert to fraction form
    1,199.66/1,655.96 = 727.37/x
  3. Step 3: Cross multiply
    1,199.66x = 1,655.96 × 727.37
  4. Step 4: Simplify right side
    1,199.66x = 1,204,487.35
  5. Step 5: Solve for x
    x = 1,204,487.35/1,199.66
  6. Step 6: Final answer
    x = 1,004.02

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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.