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Finding the Fourth Proportional to 996.28, 1,495.50 and 735.46

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Solution

The fourth proportional to 996.28, 1,495.50 and 735.46 is: 1,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.28 : 1,495.50 = 735.46 : x
  2. Step 2: Convert to fraction form
    996.28/1,495.50 = 735.46/x
  3. Step 3: Cross multiply
    996.28x = 1,495.50 × 735.46
  4. Step 4: Simplify right side
    996.28x = 1,099,880.43
  5. Step 5: Solve for x
    x = 1,099,880.43/996.28
  6. Step 6: Final answer
    x = 1,103.99

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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.