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Finding the Fourth Proportional to 827.22, 1,140.39 and 564.78

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Solution

The fourth proportional to 827.22, 1,140.39 and 564.78 is: 778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,140.39 = 564.78 : x
  2. Step 2: Convert to fraction form
    827.22/1,140.39 = 564.78/x
  3. Step 3: Cross multiply
    827.22x = 1,140.39 × 564.78
  4. Step 4: Simplify right side
    827.22x = 644,069.46
  5. Step 5: Solve for x
    x = 644,069.46/827.22
  6. Step 6: Final answer
    x = 778.60

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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.