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Finding the Fourth Proportional to 1,226.13, 1,839.21 and 360.46

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Solution

The fourth proportional to 1,226.13, 1,839.21 and 360.46 is: 540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.13 : 1,839.21 = 360.46 : x
  2. Step 2: Convert to fraction form
    1,226.13/1,839.21 = 360.46/x
  3. Step 3: Cross multiply
    1,226.13x = 1,839.21 × 360.46
  4. Step 4: Simplify right side
    1,226.13x = 662,961.64
  5. Step 5: Solve for x
    x = 662,961.64/1,226.13
  6. Step 6: Final answer
    x = 540.69

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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.