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Finding the Fourth Proportional to 1,427.05, 1,969.21 and 797.55

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Solution

The fourth proportional to 1,427.05, 1,969.21 and 797.55 is: 1,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.05 : 1,969.21 = 797.55 : x
  2. Step 2: Convert to fraction form
    1,427.05/1,969.21 = 797.55/x
  3. Step 3: Cross multiply
    1,427.05x = 1,969.21 × 797.55
  4. Step 4: Simplify right side
    1,427.05x = 1,570,537.05
  5. Step 5: Solve for x
    x = 1,570,537.05/1,427.05
  6. Step 6: Final answer
    x = 1,100.55

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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.