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Finding the Fourth Proportional to 843, 1,163.46 and 506.80

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Solution

The fourth proportional to 843, 1,163.46 and 506.80 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    843 : 1,163.46 = 506.80 : x
  2. Step 2: Convert to fraction form
    843/1,163.46 = 506.80/x
  3. Step 3: Cross multiply
    843x = 1,163.46 × 506.80
  4. Step 4: Simplify right side
    843x = 589,641.53
  5. Step 5: Solve for x
    x = 589,641.53/843
  6. Step 6: Final answer
    x = 699.46

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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.