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Finding the Fourth Proportional to 1,183.64, 1,634.38 and 764.20

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Solution

The fourth proportional to 1,183.64, 1,634.38 and 764.20 is: 1,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,634.38 = 764.20 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,634.38 = 764.20/x
  3. Step 3: Cross multiply
    1,183.64x = 1,634.38 × 764.20
  4. Step 4: Simplify right side
    1,183.64x = 1,248,993.20
  5. Step 5: Solve for x
    x = 1,248,993.20/1,183.64
  6. Step 6: Final answer
    x = 1,055.21

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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.