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Finding the Fourth Proportional to 827, 1,140.74 and 547.16

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Solution

The fourth proportional to 827, 1,140.74 and 547.16 is: 754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,140.74 = 547.16 : x
  2. Step 2: Convert to fraction form
    827/1,140.74 = 547.16/x
  3. Step 3: Cross multiply
    827x = 1,140.74 × 547.16
  4. Step 4: Simplify right side
    827x = 624,167.30
  5. Step 5: Solve for x
    x = 624,167.30/827
  6. Step 6: Final answer
    x = 754.74

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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.