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Finding the Fourth Proportional to 880.12, 1,322.83 and 727.03

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Solution

The fourth proportional to 880.12, 1,322.83 and 727.03 is: 1,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.12 : 1,322.83 = 727.03 : x
  2. Step 2: Convert to fraction form
    880.12/1,322.83 = 727.03/x
  3. Step 3: Cross multiply
    880.12x = 1,322.83 × 727.03
  4. Step 4: Simplify right side
    880.12x = 961,732.22
  5. Step 5: Solve for x
    x = 961,732.22/880.12
  6. Step 6: Final answer
    x = 1,092.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.