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Finding the Fourth Proportional to 996.82, 1,488.41 and 851.02

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Solution

The fourth proportional to 996.82, 1,488.41 and 851.02 is: 1,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.82 : 1,488.41 = 851.02 : x
  2. Step 2: Convert to fraction form
    996.82/1,488.41 = 851.02/x
  3. Step 3: Cross multiply
    996.82x = 1,488.41 × 851.02
  4. Step 4: Simplify right side
    996.82x = 1,266,666.68
  5. Step 5: Solve for x
    x = 1,266,666.68/996.82
  6. Step 6: Final answer
    x = 1,270.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.