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Finding the Fourth Proportional to 1,231.69, 1,847.90 and 462.25

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Solution

The fourth proportional to 1,231.69, 1,847.90 and 462.25 is: 693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.69 : 1,847.90 = 462.25 : x
  2. Step 2: Convert to fraction form
    1,231.69/1,847.90 = 462.25/x
  3. Step 3: Cross multiply
    1,231.69x = 1,847.90 × 462.25
  4. Step 4: Simplify right side
    1,231.69x = 854,191.78
  5. Step 5: Solve for x
    x = 854,191.78/1,231.69
  6. Step 6: Final answer
    x = 693.51

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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.