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Finding the Fourth Proportional to 1,226.12, 1,837.72 and 495.60

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Solution

The fourth proportional to 1,226.12, 1,837.72 and 495.60 is: 742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.12 : 1,837.72 = 495.60 : x
  2. Step 2: Convert to fraction form
    1,226.12/1,837.72 = 495.60/x
  3. Step 3: Cross multiply
    1,226.12x = 1,837.72 × 495.60
  4. Step 4: Simplify right side
    1,226.12x = 910,774.03
  5. Step 5: Solve for x
    x = 910,774.03/1,226.12
  6. Step 6: Final answer
    x = 742.81

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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.