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Finding the Fourth Proportional to 1,231.05, 1,846.27 and 737.15

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Solution

The fourth proportional to 1,231.05, 1,846.27 and 737.15 is: 1,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.05 : 1,846.27 = 737.15 : x
  2. Step 2: Convert to fraction form
    1,231.05/1,846.27 = 737.15/x
  3. Step 3: Cross multiply
    1,231.05x = 1,846.27 × 737.15
  4. Step 4: Simplify right side
    1,231.05x = 1,360,980.70
  5. Step 5: Solve for x
    x = 1,360,980.70/1,231.05
  6. Step 6: Final answer
    x = 1,105.54

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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.