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Finding the Fourth Proportional to 1,420.88, 1,961.08 and 799.88

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Solution

The fourth proportional to 1,420.88, 1,961.08 and 799.88 is: 1,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 1,961.08 = 799.88 : x
  2. Step 2: Convert to fraction form
    1,420.88/1,961.08 = 799.88/x
  3. Step 3: Cross multiply
    1,420.88x = 1,961.08 × 799.88
  4. Step 4: Simplify right side
    1,420.88x = 1,568,616.87
  5. Step 5: Solve for x
    x = 1,568,616.87/1,420.88
  6. Step 6: Final answer
    x = 1,103.98

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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.