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Finding the Fourth Proportional to 1,231.92, 1,847.76 and 462.48

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Solution

The fourth proportional to 1,231.92, 1,847.76 and 462.48 is: 693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.92 : 1,847.76 = 462.48 : x
  2. Step 2: Convert to fraction form
    1,231.92/1,847.76 = 462.48/x
  3. Step 3: Cross multiply
    1,231.92x = 1,847.76 × 462.48
  4. Step 4: Simplify right side
    1,231.92x = 854,552.04
  5. Step 5: Solve for x
    x = 854,552.04/1,231.92
  6. Step 6: Final answer
    x = 693.67

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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.