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Finding the Fourth Proportional to 1,239.29, 1,857.91 and 966.59

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Solution

The fourth proportional to 1,239.29, 1,857.91 and 966.59 is: 1,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.29 : 1,857.91 = 966.59 : x
  2. Step 2: Convert to fraction form
    1,239.29/1,857.91 = 966.59/x
  3. Step 3: Cross multiply
    1,239.29x = 1,857.91 × 966.59
  4. Step 4: Simplify right side
    1,239.29x = 1,795,837.23
  5. Step 5: Solve for x
    x = 1,795,837.23/1,239.29
  6. Step 6: Final answer
    x = 1,449.09

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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.