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Finding the Fourth Proportional to 1,187.87, 1,780.24 and 859.91

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Solution

The fourth proportional to 1,187.87, 1,780.24 and 859.91 is: 1,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.87 : 1,780.24 = 859.91 : x
  2. Step 2: Convert to fraction form
    1,187.87/1,780.24 = 859.91/x
  3. Step 3: Cross multiply
    1,187.87x = 1,780.24 × 859.91
  4. Step 4: Simplify right side
    1,187.87x = 1,530,845.03
  5. Step 5: Solve for x
    x = 1,530,845.03/1,187.87
  6. Step 6: Final answer
    x = 1,288.73

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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.