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Finding the Fourth Proportional to 1,226.63, 1,839.74 and 360.95

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Solution

The fourth proportional to 1,226.63, 1,839.74 and 360.95 is: 541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.63 : 1,839.74 = 360.95 : x
  2. Step 2: Convert to fraction form
    1,226.63/1,839.74 = 360.95/x
  3. Step 3: Cross multiply
    1,226.63x = 1,839.74 × 360.95
  4. Step 4: Simplify right side
    1,226.63x = 664,043.15
  5. Step 5: Solve for x
    x = 664,043.15/1,226.63
  6. Step 6: Final answer
    x = 541.35

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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.