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Finding the Fourth Proportional to 1,232.06, 1,847.97 and 792.15

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Solution

The fourth proportional to 1,232.06, 1,847.97 and 792.15 is: 1,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.06 : 1,847.97 = 792.15 : x
  2. Step 2: Convert to fraction form
    1,232.06/1,847.97 = 792.15/x
  3. Step 3: Cross multiply
    1,232.06x = 1,847.97 × 792.15
  4. Step 4: Simplify right side
    1,232.06x = 1,463,869.44
  5. Step 5: Solve for x
    x = 1,463,869.44/1,232.06
  6. Step 6: Final answer
    x = 1,188.15

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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.