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Finding the Fourth Proportional to 547.74, 827.87 and 547.74

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Solution

The fourth proportional to 547.74, 827.87 and 547.74 is: 827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 827.87 = 547.74 : x
  2. Step 2: Convert to fraction form
    547.74/827.87 = 547.74/x
  3. Step 3: Cross multiply
    547.74x = 827.87 × 547.74
  4. Step 4: Simplify right side
    547.74x = 453,454.78
  5. Step 5: Solve for x
    x = 453,454.78/547.74
  6. Step 6: Final answer
    x = 827.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.