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Finding the Fourth Proportional to 1,231.55, 1,846.17 and 451.37

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Solution

The fourth proportional to 1,231.55, 1,846.17 and 451.37 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.55 : 1,846.17 = 451.37 : x
  2. Step 2: Convert to fraction form
    1,231.55/1,846.17 = 451.37/x
  3. Step 3: Cross multiply
    1,231.55x = 1,846.17 × 451.37
  4. Step 4: Simplify right side
    1,231.55x = 833,305.75
  5. Step 5: Solve for x
    x = 833,305.75/1,231.55
  6. Step 6: Final answer
    x = 676.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.