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Finding the Fourth Proportional to 1,231.33, 1,846.47 and 480.73

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Solution

The fourth proportional to 1,231.33, 1,846.47 and 480.73 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.33 : 1,846.47 = 480.73 : x
  2. Step 2: Convert to fraction form
    1,231.33/1,846.47 = 480.73/x
  3. Step 3: Cross multiply
    1,231.33x = 1,846.47 × 480.73
  4. Step 4: Simplify right side
    1,231.33x = 887,653.52
  5. Step 5: Solve for x
    x = 887,653.52/1,231.33
  6. Step 6: Final answer
    x = 720.89

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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.