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Finding the Fourth Proportional to 1,231.62, 1,846.31 and 451.07

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Solution

The fourth proportional to 1,231.62, 1,846.31 and 451.07 is: 676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.62 : 1,846.31 = 451.07 : x
  2. Step 2: Convert to fraction form
    1,231.62/1,846.31 = 451.07/x
  3. Step 3: Cross multiply
    1,231.62x = 1,846.31 × 451.07
  4. Step 4: Simplify right side
    1,231.62x = 832,815.05
  5. Step 5: Solve for x
    x = 832,815.05/1,231.62
  6. Step 6: Final answer
    x = 676.19

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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.