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Finding the Fourth Proportional to 855.81, 1,180.41 and 827.22

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Solution

The fourth proportional to 855.81, 1,180.41 and 827.22 is: 1,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.81 : 1,180.41 = 827.22 : x
  2. Step 2: Convert to fraction form
    855.81/1,180.41 = 827.22/x
  3. Step 3: Cross multiply
    855.81x = 1,180.41 × 827.22
  4. Step 4: Simplify right side
    855.81x = 976,458.76
  5. Step 5: Solve for x
    x = 976,458.76/855.81
  6. Step 6: Final answer
    x = 1,140.98

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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.