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Finding the Fourth Proportional to 996.06, 1,496.25 and 842.30

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Solution

The fourth proportional to 996.06, 1,496.25 and 842.30 is: 1,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.06 : 1,496.25 = 842.30 : x
  2. Step 2: Convert to fraction form
    996.06/1,496.25 = 842.30/x
  3. Step 3: Cross multiply
    996.06x = 1,496.25 × 842.30
  4. Step 4: Simplify right side
    996.06x = 1,260,283.89
  5. Step 5: Solve for x
    x = 1,260,283.89/996.06
  6. Step 6: Final answer
    x = 1,265.27

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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.