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Finding the Fourth Proportional to 1,427.02, 1,969.23 and 797.55

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Solution

The fourth proportional to 1,427.02, 1,969.23 and 797.55 is: 1,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 1,969.23 = 797.55 : x
  2. Step 2: Convert to fraction form
    1,427.02/1,969.23 = 797.55/x
  3. Step 3: Cross multiply
    1,427.02x = 1,969.23 × 797.55
  4. Step 4: Simplify right side
    1,427.02x = 1,570,559.39
  5. Step 5: Solve for x
    x = 1,570,559.39/1,427.02
  6. Step 6: Final answer
    x = 1,100.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.