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Finding the Fourth Proportional to 1,427.28, 1,969.62 and 806.28

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Solution

The fourth proportional to 1,427.28, 1,969.62 and 806.28 is: 1,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.28 : 1,969.62 = 806.28 : x
  2. Step 2: Convert to fraction form
    1,427.28/1,969.62 = 806.28/x
  3. Step 3: Cross multiply
    1,427.28x = 1,969.62 × 806.28
  4. Step 4: Simplify right side
    1,427.28x = 1,588,065.21
  5. Step 5: Solve for x
    x = 1,588,065.21/1,427.28
  6. Step 6: Final answer
    x = 1,112.65

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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.