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Finding the Fourth Proportional to 1,190.70, 1,786.05 and 1,104.30

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Solution

The fourth proportional to 1,190.70, 1,786.05 and 1,104.30 is: 1,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.70 : 1,786.05 = 1,104.30 : x
  2. Step 2: Convert to fraction form
    1,190.70/1,786.05 = 1,104.30/x
  3. Step 3: Cross multiply
    1,190.70x = 1,786.05 × 1,104.30
  4. Step 4: Simplify right side
    1,190.70x = 1,972,335.02
  5. Step 5: Solve for x
    x = 1,972,335.02/1,190.70
  6. Step 6: Final answer
    x = 1,656.45

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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.