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Finding the Fourth Proportional to 859.72, 1,185.96 and 611.14

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Solution

The fourth proportional to 859.72, 1,185.96 and 611.14 is: 843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.72 : 1,185.96 = 611.14 : x
  2. Step 2: Convert to fraction form
    859.72/1,185.96 = 611.14/x
  3. Step 3: Cross multiply
    859.72x = 1,185.96 × 611.14
  4. Step 4: Simplify right side
    859.72x = 724,787.59
  5. Step 5: Solve for x
    x = 724,787.59/859.72
  6. Step 6: Final answer
    x = 843.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.