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Finding the Fourth Proportional to 827.24, 1,141.66 and 547.00

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Solution

The fourth proportional to 827.24, 1,141.66 and 547.00 is: 754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,141.66 = 547.00 : x
  2. Step 2: Convert to fraction form
    827.24/1,141.66 = 547.00/x
  3. Step 3: Cross multiply
    827.24x = 1,141.66 × 547.00
  4. Step 4: Simplify right side
    827.24x = 624,483.80
  5. Step 5: Solve for x
    x = 624,483.80/827.24
  6. Step 6: Final answer
    x = 754.90

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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.