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Finding the Fourth Proportional to 844.56, 1,165.19 and 596.30

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Solution

The fourth proportional to 844.56, 1,165.19 and 596.30 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.56 : 1,165.19 = 596.30 : x
  2. Step 2: Convert to fraction form
    844.56/1,165.19 = 596.30/x
  3. Step 3: Cross multiply
    844.56x = 1,165.19 × 596.30
  4. Step 4: Simplify right side
    844.56x = 694,793.99
  5. Step 5: Solve for x
    x = 694,793.99/844.56
  6. Step 6: Final answer
    x = 822.67

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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.