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Finding the Fourth Proportional to 1,226.20, 1,837.98 and 495.40

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Solution

The fourth proportional to 1,226.20, 1,837.98 and 495.40 is: 742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.20 : 1,837.98 = 495.40 : x
  2. Step 2: Convert to fraction form
    1,226.20/1,837.98 = 495.40/x
  3. Step 3: Cross multiply
    1,226.20x = 1,837.98 × 495.40
  4. Step 4: Simplify right side
    1,226.20x = 910,535.29
  5. Step 5: Solve for x
    x = 910,535.29/1,226.20
  6. Step 6: Final answer
    x = 742.57

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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.