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Finding the Fourth Proportional to 1,228.44, 1,842.62 and 303.99

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Solution

The fourth proportional to 1,228.44, 1,842.62 and 303.99 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.44 : 1,842.62 = 303.99 : x
  2. Step 2: Convert to fraction form
    1,228.44/1,842.62 = 303.99/x
  3. Step 3: Cross multiply
    1,228.44x = 1,842.62 × 303.99
  4. Step 4: Simplify right side
    1,228.44x = 560,138.05
  5. Step 5: Solve for x
    x = 560,138.05/1,228.44
  6. Step 6: Final answer
    x = 455.98

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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.