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Finding the Fourth Proportional to 843.10, 1,161.11 and 824.94

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Solution

The fourth proportional to 843.10, 1,161.11 and 824.94 is: 1,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.10 : 1,161.11 = 824.94 : x
  2. Step 2: Convert to fraction form
    843.10/1,161.11 = 824.94/x
  3. Step 3: Cross multiply
    843.10x = 1,161.11 × 824.94
  4. Step 4: Simplify right side
    843.10x = 957,848.15
  5. Step 5: Solve for x
    x = 957,848.15/843.10
  6. Step 6: Final answer
    x = 1,136.11

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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.