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Finding the Fourth Proportional to 1,444.25, 1,992.07 and 884.00

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Solution

The fourth proportional to 1,444.25, 1,992.07 and 884.00 is: 1,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.25 : 1,992.07 = 884.00 : x
  2. Step 2: Convert to fraction form
    1,444.25/1,992.07 = 884.00/x
  3. Step 3: Cross multiply
    1,444.25x = 1,992.07 × 884.00
  4. Step 4: Simplify right side
    1,444.25x = 1,760,995.97
  5. Step 5: Solve for x
    x = 1,760,995.97/1,444.25
  6. Step 6: Final answer
    x = 1,219.31

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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.