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Finding the Fourth Proportional to 844.35, 1,165.20 and 596.10

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Solution

The fourth proportional to 844.35, 1,165.20 and 596.10 is: 822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.35 : 1,165.20 = 596.10 : x
  2. Step 2: Convert to fraction form
    844.35/1,165.20 = 596.10/x
  3. Step 3: Cross multiply
    844.35x = 1,165.20 × 596.10
  4. Step 4: Simplify right side
    844.35x = 694,575.72
  5. Step 5: Solve for x
    x = 694,575.72/844.35
  6. Step 6: Final answer
    x = 822.62

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1.5x scale

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.