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Finding the Fourth Proportional to 988.82, 1,363.38 and 799.97

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Solution

The fourth proportional to 988.82, 1,363.38 and 799.97 is: 1,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.82 : 1,363.38 = 799.97 : x
  2. Step 2: Convert to fraction form
    988.82/1,363.38 = 799.97/x
  3. Step 3: Cross multiply
    988.82x = 1,363.38 × 799.97
  4. Step 4: Simplify right side
    988.82x = 1,090,656.28
  5. Step 5: Solve for x
    x = 1,090,656.28/988.82
  6. Step 6: Final answer
    x = 1,102.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.