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Finding the Fourth Proportional to 859.68, 1,287.90 and 858.60

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Solution

The fourth proportional to 859.68, 1,287.90 and 858.60 is: 1,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,287.90 = 858.60 : x
  2. Step 2: Convert to fraction form
    859.68/1,287.90 = 858.60/x
  3. Step 3: Cross multiply
    859.68x = 1,287.90 × 858.60
  4. Step 4: Simplify right side
    859.68x = 1,105,790.94
  5. Step 5: Solve for x
    x = 1,105,790.94/859.68
  6. Step 6: Final answer
    x = 1,286.28

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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.