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Finding the Fourth Proportional to 1,236.66, 1,855.20 and 415.02

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Solution

The fourth proportional to 1,236.66, 1,855.20 and 415.02 is: 622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.66 : 1,855.20 = 415.02 : x
  2. Step 2: Convert to fraction form
    1,236.66/1,855.20 = 415.02/x
  3. Step 3: Cross multiply
    1,236.66x = 1,855.20 × 415.02
  4. Step 4: Simplify right side
    1,236.66x = 769,945.10
  5. Step 5: Solve for x
    x = 769,945.10/1,236.66
  6. Step 6: Final answer
    x = 622.60

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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.