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Finding the Fourth Proportional to 1,305.98, 1,959.38 and 484.37

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Solution

The fourth proportional to 1,305.98, 1,959.38 and 484.37 is: 726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.98 : 1,959.38 = 484.37 : x
  2. Step 2: Convert to fraction form
    1,305.98/1,959.38 = 484.37/x
  3. Step 3: Cross multiply
    1,305.98x = 1,959.38 × 484.37
  4. Step 4: Simplify right side
    1,305.98x = 949,064.89
  5. Step 5: Solve for x
    x = 949,064.89/1,305.98
  6. Step 6: Final answer
    x = 726.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.