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Finding the Fourth Proportional to 961.96, 1,325.82 and 823.72

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Solution

The fourth proportional to 961.96, 1,325.82 and 823.72 is: 1,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.96 : 1,325.82 = 823.72 : x
  2. Step 2: Convert to fraction form
    961.96/1,325.82 = 823.72/x
  3. Step 3: Cross multiply
    961.96x = 1,325.82 × 823.72
  4. Step 4: Simplify right side
    961.96x = 1,092,104.45
  5. Step 5: Solve for x
    x = 1,092,104.45/961.96
  6. Step 6: Final answer
    x = 1,135.29

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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.