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Finding the Fourth Proportional to 827.20, 1,141.96 and 547.84

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Solution

The fourth proportional to 827.20, 1,141.96 and 547.84 is: 756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.20 : 1,141.96 = 547.84 : x
  2. Step 2: Convert to fraction form
    827.20/1,141.96 = 547.84/x
  3. Step 3: Cross multiply
    827.20x = 1,141.96 × 547.84
  4. Step 4: Simplify right side
    827.20x = 625,611.37
  5. Step 5: Solve for x
    x = 625,611.37/827.20
  6. Step 6: Final answer
    x = 756.30

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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.