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Finding the Fourth Proportional to 827.24, 1,139.13 and 564.80

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Solution

The fourth proportional to 827.24, 1,139.13 and 564.80 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,139.13 = 564.80 : x
  2. Step 2: Convert to fraction form
    827.24/1,139.13 = 564.80/x
  3. Step 3: Cross multiply
    827.24x = 1,139.13 × 564.80
  4. Step 4: Simplify right side
    827.24x = 643,374.93
  5. Step 5: Solve for x
    x = 643,374.93/827.24
  6. Step 6: Final answer
    x = 777.74

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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.