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Finding the Fourth Proportional to 1,327.44, 1,992.32 and 960.48

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Solution

The fourth proportional to 1,327.44, 1,992.32 and 960.48 is: 1,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.44 : 1,992.32 = 960.48 : x
  2. Step 2: Convert to fraction form
    1,327.44/1,992.32 = 960.48/x
  3. Step 3: Cross multiply
    1,327.44x = 1,992.32 × 960.48
  4. Step 4: Simplify right side
    1,327.44x = 1,913,583.51
  5. Step 5: Solve for x
    x = 1,913,583.51/1,327.44
  6. Step 6: Final answer
    x = 1,441.56

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1.5x scale

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.