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Finding the Fourth Proportional to 1,589.82, 2,383.71 and 666.03

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Solution

The fourth proportional to 1,589.82, 2,383.71 and 666.03 is: 998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.82 : 2,383.71 = 666.03 : x
  2. Step 2: Convert to fraction form
    1,589.82/2,383.71 = 666.03/x
  3. Step 3: Cross multiply
    1,589.82x = 2,383.71 × 666.03
  4. Step 4: Simplify right side
    1,589.82x = 1,587,622.37
  5. Step 5: Solve for x
    x = 1,587,622.37/1,589.82
  6. Step 6: Final answer
    x = 998.62

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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.