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Finding the Fourth Proportional to 665.30, 996.32 and 645.86

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Solution

The fourth proportional to 665.30, 996.32 and 645.86 is: 967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.30 : 996.32 = 645.86 : x
  2. Step 2: Convert to fraction form
    665.30/996.32 = 645.86/x
  3. Step 3: Cross multiply
    665.30x = 996.32 × 645.86
  4. Step 4: Simplify right side
    665.30x = 643,475.02
  5. Step 5: Solve for x
    x = 643,475.02/665.30
  6. Step 6: Final answer
    x = 967.20

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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.