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Finding the Fourth Proportional to 822.26, 1,135.05 and 560.54

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Solution

The fourth proportional to 822.26, 1,135.05 and 560.54 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.26 : 1,135.05 = 560.54 : x
  2. Step 2: Convert to fraction form
    822.26/1,135.05 = 560.54/x
  3. Step 3: Cross multiply
    822.26x = 1,135.05 × 560.54
  4. Step 4: Simplify right side
    822.26x = 636,240.93
  5. Step 5: Solve for x
    x = 636,240.93/822.26
  6. Step 6: Final answer
    x = 773.77

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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.