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Finding the Fourth Proportional to 1,427.31, 1,969.46 and 797.80

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Solution

The fourth proportional to 1,427.31, 1,969.46 and 797.80 is: 1,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.31 : 1,969.46 = 797.80 : x
  2. Step 2: Convert to fraction form
    1,427.31/1,969.46 = 797.80/x
  3. Step 3: Cross multiply
    1,427.31x = 1,969.46 × 797.80
  4. Step 4: Simplify right side
    1,427.31x = 1,571,235.19
  5. Step 5: Solve for x
    x = 1,571,235.19/1,427.31
  6. Step 6: Final answer
    x = 1,100.84

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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.