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Finding the Fourth Proportional to 1,226.94, 1,840.57 and 361.26

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Solution

The fourth proportional to 1,226.94, 1,840.57 and 361.26 is: 541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.94 : 1,840.57 = 361.26 : x
  2. Step 2: Convert to fraction form
    1,226.94/1,840.57 = 361.26/x
  3. Step 3: Cross multiply
    1,226.94x = 1,840.57 × 361.26
  4. Step 4: Simplify right side
    1,226.94x = 664,913.31
  5. Step 5: Solve for x
    x = 664,913.31/1,226.94
  6. Step 6: Final answer
    x = 541.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.