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Finding the Fourth Proportional to 843.22, 1,164.12 and 511.78

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Solution

The fourth proportional to 843.22, 1,164.12 and 511.78 is: 706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.22 : 1,164.12 = 511.78 : x
  2. Step 2: Convert to fraction form
    843.22/1,164.12 = 511.78/x
  3. Step 3: Cross multiply
    843.22x = 1,164.12 × 511.78
  4. Step 4: Simplify right side
    843.22x = 595,773.33
  5. Step 5: Solve for x
    x = 595,773.33/843.22
  6. Step 6: Final answer
    x = 706.55

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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.