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Finding the Fourth Proportional to 891, 1,337.99 and 823.64

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Solution

The fourth proportional to 891, 1,337.99 and 823.64 is: 1,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    891 : 1,337.99 = 823.64 : x
  2. Step 2: Convert to fraction form
    891/1,337.99 = 823.64/x
  3. Step 3: Cross multiply
    891x = 1,337.99 × 823.64
  4. Step 4: Simplify right side
    891x = 1,102,011.28
  5. Step 5: Solve for x
    x = 1,102,011.28/891
  6. Step 6: Final answer
    x = 1,236.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.