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Finding the Fourth Proportional to 827.26, 1,140.86 and 547.78

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Solution

The fourth proportional to 827.26, 1,140.86 and 547.78 is: 755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.26 : 1,140.86 = 547.78 : x
  2. Step 2: Convert to fraction form
    827.26/1,140.86 = 547.78/x
  3. Step 3: Cross multiply
    827.26x = 1,140.86 × 547.78
  4. Step 4: Simplify right side
    827.26x = 624,934.59
  5. Step 5: Solve for x
    x = 624,934.59/827.26
  6. Step 6: Final answer
    x = 755.43

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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.