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Finding the Fourth Proportional to 1,420.14, 1,959.81 and 799.14

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Solution

The fourth proportional to 1,420.14, 1,959.81 and 799.14 is: 1,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.14 : 1,959.81 = 799.14 : x
  2. Step 2: Convert to fraction form
    1,420.14/1,959.81 = 799.14/x
  3. Step 3: Cross multiply
    1,420.14x = 1,959.81 × 799.14
  4. Step 4: Simplify right side
    1,420.14x = 1,566,162.56
  5. Step 5: Solve for x
    x = 1,566,162.56/1,420.14
  6. Step 6: Final answer
    x = 1,102.82

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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.