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Finding the Fourth Proportional to 1,589.03, 2,382.72 and 664.34

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Solution

The fourth proportional to 1,589.03, 2,382.72 and 664.34 is: 996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.03 : 2,382.72 = 664.34 : x
  2. Step 2: Convert to fraction form
    1,589.03/2,382.72 = 664.34/x
  3. Step 3: Cross multiply
    1,589.03x = 2,382.72 × 664.34
  4. Step 4: Simplify right side
    1,589.03x = 1,582,924.29
  5. Step 5: Solve for x
    x = 1,582,924.29/1,589.03
  6. Step 6: Final answer
    x = 996.16

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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.