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Finding the Fourth Proportional to 827.21, 1,141.75 and 547.46

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Solution

The fourth proportional to 827.21, 1,141.75 and 547.46 is: 755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.21 : 1,141.75 = 547.46 : x
  2. Step 2: Convert to fraction form
    827.21/1,141.75 = 547.46/x
  3. Step 3: Cross multiply
    827.21x = 1,141.75 × 547.46
  4. Step 4: Simplify right side
    827.21x = 625,058.63
  5. Step 5: Solve for x
    x = 625,058.63/827.21
  6. Step 6: Final answer
    x = 755.62

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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.