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Finding the Fourth Proportional to 1,444.25, 1,992.80 and 854.64

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Solution

The fourth proportional to 1,444.25, 1,992.80 and 854.64 is: 1,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.25 : 1,992.80 = 854.64 : x
  2. Step 2: Convert to fraction form
    1,444.25/1,992.80 = 854.64/x
  3. Step 3: Cross multiply
    1,444.25x = 1,992.80 × 854.64
  4. Step 4: Simplify right side
    1,444.25x = 1,703,128.73
  5. Step 5: Solve for x
    x = 1,703,128.73/1,444.25
  6. Step 6: Final answer
    x = 1,179.25

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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.