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Finding the Fourth Proportional to 1,121.84, 1,682.71 and 300.09

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Solution

The fourth proportional to 1,121.84, 1,682.71 and 300.09 is: 450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.84 : 1,682.71 = 300.09 : x
  2. Step 2: Convert to fraction form
    1,121.84/1,682.71 = 300.09/x
  3. Step 3: Cross multiply
    1,121.84x = 1,682.71 × 300.09
  4. Step 4: Simplify right side
    1,121.84x = 504,964.44
  5. Step 5: Solve for x
    x = 504,964.44/1,121.84
  6. Step 6: Final answer
    x = 450.12

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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.