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Finding the Fourth Proportional to 1,485.14, 2,229.05 and 792.39

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Solution

The fourth proportional to 1,485.14, 2,229.05 and 792.39 is: 1,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.14 : 2,229.05 = 792.39 : x
  2. Step 2: Convert to fraction form
    1,485.14/2,229.05 = 792.39/x
  3. Step 3: Cross multiply
    1,485.14x = 2,229.05 × 792.39
  4. Step 4: Simplify right side
    1,485.14x = 1,766,287.27
  5. Step 5: Solve for x
    x = 1,766,287.27/1,485.14
  6. Step 6: Final answer
    x = 1,189.31

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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.