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Finding the Fourth Proportional to 665.82, 996.30 and 596.16

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Solution

The fourth proportional to 665.82, 996.30 and 596.16 is: 892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 996.30 = 596.16 : x
  2. Step 2: Convert to fraction form
    665.82/996.30 = 596.16/x
  3. Step 3: Cross multiply
    665.82x = 996.30 × 596.16
  4. Step 4: Simplify right side
    665.82x = 593,954.21
  5. Step 5: Solve for x
    x = 593,954.21/665.82
  6. Step 6: Final answer
    x = 892.06

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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.