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Finding the Fourth Proportional to 1,229.20, 1,840.38 and 795.04

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Solution

The fourth proportional to 1,229.20, 1,840.38 and 795.04 is: 1,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.20 : 1,840.38 = 795.04 : x
  2. Step 2: Convert to fraction form
    1,229.20/1,840.38 = 795.04/x
  3. Step 3: Cross multiply
    1,229.20x = 1,840.38 × 795.04
  4. Step 4: Simplify right side
    1,229.20x = 1,463,175.72
  5. Step 5: Solve for x
    x = 1,463,175.72/1,229.20
  6. Step 6: Final answer
    x = 1,190.35

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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.