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Finding the Fourth Proportional to 1,229.09, 1,844.24 and 612.89

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Solution

The fourth proportional to 1,229.09, 1,844.24 and 612.89 is: 919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.09 : 1,844.24 = 612.89 : x
  2. Step 2: Convert to fraction form
    1,229.09/1,844.24 = 612.89/x
  3. Step 3: Cross multiply
    1,229.09x = 1,844.24 × 612.89
  4. Step 4: Simplify right side
    1,229.09x = 1,130,305.70
  5. Step 5: Solve for x
    x = 1,130,305.70/1,229.09
  6. Step 6: Final answer
    x = 919.63

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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.