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Finding the Fourth Proportional to 1,190.90, 1,786.77 and 532.72

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Solution

The fourth proportional to 1,190.90, 1,786.77 and 532.72 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.90 : 1,786.77 = 532.72 : x
  2. Step 2: Convert to fraction form
    1,190.90/1,786.77 = 532.72/x
  3. Step 3: Cross multiply
    1,190.90x = 1,786.77 × 532.72
  4. Step 4: Simplify right side
    1,190.90x = 951,843.65
  5. Step 5: Solve for x
    x = 951,843.65/1,190.90
  6. Step 6: Final answer
    x = 799.27

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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.