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Finding the Fourth Proportional to 1,190.75, 1,786.36 and 574.88

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Solution

The fourth proportional to 1,190.75, 1,786.36 and 574.88 is: 862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.75 : 1,786.36 = 574.88 : x
  2. Step 2: Convert to fraction form
    1,190.75/1,786.36 = 574.88/x
  3. Step 3: Cross multiply
    1,190.75x = 1,786.36 × 574.88
  4. Step 4: Simplify right side
    1,190.75x = 1,026,936.73
  5. Step 5: Solve for x
    x = 1,026,936.73/1,190.75
  6. Step 6: Final answer
    x = 862.43

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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.