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Finding the Fourth Proportional to 1,232.69, 1,847.40 and 451.97

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Solution

The fourth proportional to 1,232.69, 1,847.40 and 451.97 is: 677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.69 : 1,847.40 = 451.97 : x
  2. Step 2: Convert to fraction form
    1,232.69/1,847.40 = 451.97/x
  3. Step 3: Cross multiply
    1,232.69x = 1,847.40 × 451.97
  4. Step 4: Simplify right side
    1,232.69x = 834,969.38
  5. Step 5: Solve for x
    x = 834,969.38/1,232.69
  6. Step 6: Final answer
    x = 677.36

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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.