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Finding the Fourth Proportional to 843.14, 1,164.04 and 559.80

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Solution

The fourth proportional to 843.14, 1,164.04 and 559.80 is: 772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,164.04 = 559.80 : x
  2. Step 2: Convert to fraction form
    843.14/1,164.04 = 559.80/x
  3. Step 3: Cross multiply
    843.14x = 1,164.04 × 559.80
  4. Step 4: Simplify right side
    843.14x = 651,629.59
  5. Step 5: Solve for x
    x = 651,629.59/843.14
  6. Step 6: Final answer
    x = 772.86

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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.