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Finding the Fourth Proportional to 1,190.56, 1,786.56 and 420.96

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Solution

The fourth proportional to 1,190.56, 1,786.56 and 420.96 is: 631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.56 : 1,786.56 = 420.96 : x
  2. Step 2: Convert to fraction form
    1,190.56/1,786.56 = 420.96/x
  3. Step 3: Cross multiply
    1,190.56x = 1,786.56 × 420.96
  4. Step 4: Simplify right side
    1,190.56x = 752,070.30
  5. Step 5: Solve for x
    x = 752,070.30/1,190.56
  6. Step 6: Final answer
    x = 631.69

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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.