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Finding the Fourth Proportional to 843.93, 1,163.86 and 529.23

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Solution

The fourth proportional to 843.93, 1,163.86 and 529.23 is: 729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.93 : 1,163.86 = 529.23 : x
  2. Step 2: Convert to fraction form
    843.93/1,163.86 = 529.23/x
  3. Step 3: Cross multiply
    843.93x = 1,163.86 × 529.23
  4. Step 4: Simplify right side
    843.93x = 615,949.63
  5. Step 5: Solve for x
    x = 615,949.63/843.93
  6. Step 6: Final answer
    x = 729.86

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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.