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Finding the Fourth Proportional to 859.57, 1,286.61 and 613.23

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Solution

The fourth proportional to 859.57, 1,286.61 and 613.23 is: 917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.57 : 1,286.61 = 613.23 : x
  2. Step 2: Convert to fraction form
    859.57/1,286.61 = 613.23/x
  3. Step 3: Cross multiply
    859.57x = 1,286.61 × 613.23
  4. Step 4: Simplify right side
    859.57x = 788,987.85
  5. Step 5: Solve for x
    x = 788,987.85/859.57
  6. Step 6: Final answer
    x = 917.89

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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.