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Finding the Fourth Proportional to 1,304.33, 1,945.62 and 1,179.77

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Solution

The fourth proportional to 1,304.33, 1,945.62 and 1,179.77 is: 1,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.33 : 1,945.62 = 1,179.77 : x
  2. Step 2: Convert to fraction form
    1,304.33/1,945.62 = 1,179.77/x
  3. Step 3: Cross multiply
    1,304.33x = 1,945.62 × 1,179.77
  4. Step 4: Simplify right side
    1,304.33x = 2,295,374.38
  5. Step 5: Solve for x
    x = 2,295,374.38/1,304.33
  6. Step 6: Final answer
    x = 1,759.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.