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Finding the Fourth Proportional to 1,231.31, 1,846.69 and 365.33

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Solution

The fourth proportional to 1,231.31, 1,846.69 and 365.33 is: 547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.31 : 1,846.69 = 365.33 : x
  2. Step 2: Convert to fraction form
    1,231.31/1,846.69 = 365.33/x
  3. Step 3: Cross multiply
    1,231.31x = 1,846.69 × 365.33
  4. Step 4: Simplify right side
    1,231.31x = 674,651.26
  5. Step 5: Solve for x
    x = 674,651.26/1,231.31
  6. Step 6: Final answer
    x = 547.91

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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.