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Finding the Fourth Proportional to 843.16, 1,163.21 and 511.47

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Solution

The fourth proportional to 843.16, 1,163.21 and 511.47 is: 705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.16 : 1,163.21 = 511.47 : x
  2. Step 2: Convert to fraction form
    843.16/1,163.21 = 511.47/x
  3. Step 3: Cross multiply
    843.16x = 1,163.21 × 511.47
  4. Step 4: Simplify right side
    843.16x = 594,938.65
  5. Step 5: Solve for x
    x = 594,938.65/843.16
  6. Step 6: Final answer
    x = 705.61

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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.