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Finding the Fourth Proportional to 1,226.16, 1,839.36 and 360.72

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Solution

The fourth proportional to 1,226.16, 1,839.36 and 360.72 is: 541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.16 : 1,839.36 = 360.72 : x
  2. Step 2: Convert to fraction form
    1,226.16/1,839.36 = 360.72/x
  3. Step 3: Cross multiply
    1,226.16x = 1,839.36 × 360.72
  4. Step 4: Simplify right side
    1,226.16x = 663,493.94
  5. Step 5: Solve for x
    x = 663,493.94/1,226.16
  6. Step 6: Final answer
    x = 541.12

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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.