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Finding the Fourth Proportional to 1,232.96, 1,847.88 and 794.06

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Solution

The fourth proportional to 1,232.96, 1,847.88 and 794.06 is: 1,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.96 : 1,847.88 = 794.06 : x
  2. Step 2: Convert to fraction form
    1,232.96/1,847.88 = 794.06/x
  3. Step 3: Cross multiply
    1,232.96x = 1,847.88 × 794.06
  4. Step 4: Simplify right side
    1,232.96x = 1,467,327.59
  5. Step 5: Solve for x
    x = 1,467,327.59/1,232.96
  6. Step 6: Final answer
    x = 1,190.09

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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.