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Finding the Fourth Proportional to 1,212.45, 1,676.24 and 1,160.80

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Solution

The fourth proportional to 1,212.45, 1,676.24 and 1,160.80 is: 1,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.45 : 1,676.24 = 1,160.80 : x
  2. Step 2: Convert to fraction form
    1,212.45/1,676.24 = 1,160.80/x
  3. Step 3: Cross multiply
    1,212.45x = 1,676.24 × 1,160.80
  4. Step 4: Simplify right side
    1,212.45x = 1,945,779.39
  5. Step 5: Solve for x
    x = 1,945,779.39/1,212.45
  6. Step 6: Final answer
    x = 1,604.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.