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Finding the Fourth Proportional to 1,228.73, 1,843.33 and 790.42

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Solution

The fourth proportional to 1,228.73, 1,843.33 and 790.42 is: 1,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.73 : 1,843.33 = 790.42 : x
  2. Step 2: Convert to fraction form
    1,228.73/1,843.33 = 790.42/x
  3. Step 3: Cross multiply
    1,228.73x = 1,843.33 × 790.42
  4. Step 4: Simplify right side
    1,228.73x = 1,457,004.90
  5. Step 5: Solve for x
    x = 1,457,004.90/1,228.73
  6. Step 6: Final answer
    x = 1,185.78

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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.