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Finding the Fourth Proportional to 1,422.75, 1,963.49 and 825.35

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Solution

The fourth proportional to 1,422.75, 1,963.49 and 825.35 is: 1,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.75 : 1,963.49 = 825.35 : x
  2. Step 2: Convert to fraction form
    1,422.75/1,963.49 = 825.35/x
  3. Step 3: Cross multiply
    1,422.75x = 1,963.49 × 825.35
  4. Step 4: Simplify right side
    1,422.75x = 1,620,566.47
  5. Step 5: Solve for x
    x = 1,620,566.47/1,422.75
  6. Step 6: Final answer
    x = 1,139.04

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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.