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Finding the Fourth Proportional to 1,199.76, 1,655.24 and 727.52

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Solution

The fourth proportional to 1,199.76, 1,655.24 and 727.52 is: 1,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.76 : 1,655.24 = 727.52 : x
  2. Step 2: Convert to fraction form
    1,199.76/1,655.24 = 727.52/x
  3. Step 3: Cross multiply
    1,199.76x = 1,655.24 × 727.52
  4. Step 4: Simplify right side
    1,199.76x = 1,204,220.20
  5. Step 5: Solve for x
    x = 1,204,220.20/1,199.76
  6. Step 6: Final answer
    x = 1,003.72

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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.