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Finding the Fourth Proportional to 1,192.76, 1,788.87 and 423.26

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Solution

The fourth proportional to 1,192.76, 1,788.87 and 423.26 is: 634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,788.87 = 423.26 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,788.87 = 423.26/x
  3. Step 3: Cross multiply
    1,192.76x = 1,788.87 × 423.26
  4. Step 4: Simplify right side
    1,192.76x = 757,157.12
  5. Step 5: Solve for x
    x = 757,157.12/1,192.76
  6. Step 6: Final answer
    x = 634.79

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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.