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Finding the Fourth Proportional to 880.27, 1,322.43 and 726.78

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Solution

The fourth proportional to 880.27, 1,322.43 and 726.78 is: 1,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.27 : 1,322.43 = 726.78 : x
  2. Step 2: Convert to fraction form
    880.27/1,322.43 = 726.78/x
  3. Step 3: Cross multiply
    880.27x = 1,322.43 × 726.78
  4. Step 4: Simplify right side
    880.27x = 961,115.68
  5. Step 5: Solve for x
    x = 961,115.68/880.27
  6. Step 6: Final answer
    x = 1,091.84

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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.