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Finding the Fourth Proportional to 1,327.63, 1,832.30 and 768.09

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Solution

The fourth proportional to 1,327.63, 1,832.30 and 768.09 is: 1,060.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.63 : 1,832.30 = 768.09 : x
  2. Step 2: Convert to fraction form
    1,327.63/1,832.30 = 768.09/x
  3. Step 3: Cross multiply
    1,327.63x = 1,832.30 × 768.09
  4. Step 4: Simplify right side
    1,327.63x = 1,407,371.31
  5. Step 5: Solve for x
    x = 1,407,371.31/1,327.63
  6. Step 6: Final answer
    x = 1,060.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.