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Finding the Fourth Proportional to 1,422.97, 1,965.54 and 980.09

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Solution

The fourth proportional to 1,422.97, 1,965.54 and 980.09 is: 1,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.97 : 1,965.54 = 980.09 : x
  2. Step 2: Convert to fraction form
    1,422.97/1,965.54 = 980.09/x
  3. Step 3: Cross multiply
    1,422.97x = 1,965.54 × 980.09
  4. Step 4: Simplify right side
    1,422.97x = 1,926,406.10
  5. Step 5: Solve for x
    x = 1,926,406.10/1,422.97
  6. Step 6: Final answer
    x = 1,353.79

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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.