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Finding the Fourth Proportional to 843.24, 1,163.74 and 511.76

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Solution

The fourth proportional to 843.24, 1,163.74 and 511.76 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.24 : 1,163.74 = 511.76 : x
  2. Step 2: Convert to fraction form
    843.24/1,163.74 = 511.76/x
  3. Step 3: Cross multiply
    843.24x = 1,163.74 × 511.76
  4. Step 4: Simplify right side
    843.24x = 595,555.58
  5. Step 5: Solve for x
    x = 595,555.58/843.24
  6. Step 6: Final answer
    x = 706.27

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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.