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Finding the Fourth Proportional to 1,330.89, 1,995.96 and 796.25

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Solution

The fourth proportional to 1,330.89, 1,995.96 and 796.25 is: 1,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.89 : 1,995.96 = 796.25 : x
  2. Step 2: Convert to fraction form
    1,330.89/1,995.96 = 796.25/x
  3. Step 3: Cross multiply
    1,330.89x = 1,995.96 × 796.25
  4. Step 4: Simplify right side
    1,330.89x = 1,589,283.15
  5. Step 5: Solve for x
    x = 1,589,283.15/1,330.89
  6. Step 6: Final answer
    x = 1,194.15

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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.