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Finding the Fourth Proportional to 996.71, 1,494.16 and 644.36

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Solution

The fourth proportional to 996.71, 1,494.16 and 644.36 is: 965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.71 : 1,494.16 = 644.36 : x
  2. Step 2: Convert to fraction form
    996.71/1,494.16 = 644.36/x
  3. Step 3: Cross multiply
    996.71x = 1,494.16 × 644.36
  4. Step 4: Simplify right side
    996.71x = 962,767.86
  5. Step 5: Solve for x
    x = 962,767.86/996.71
  6. Step 6: Final answer
    x = 965.95

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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.