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Finding the Fourth Proportional to 843.19, 1,163.69 and 511.72

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Solution

The fourth proportional to 843.19, 1,163.69 and 511.72 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.19 : 1,163.69 = 511.72 : x
  2. Step 2: Convert to fraction form
    843.19/1,163.69 = 511.72/x
  3. Step 3: Cross multiply
    843.19x = 1,163.69 × 511.72
  4. Step 4: Simplify right side
    843.19x = 595,483.45
  5. Step 5: Solve for x
    x = 595,483.45/843.19
  6. Step 6: Final answer
    x = 706.23

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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.