Home / 1,022.96-1,534.34-329.43

Finding the Fourth Proportional to 1,022.96, 1,534.34 and 329.43

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Solution

The fourth proportional to 1,022.96, 1,534.34 and 329.43 is: 494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.96 : 1,534.34 = 329.43 : x
  2. Step 2: Convert to fraction form
    1,022.96/1,534.34 = 329.43/x
  3. Step 3: Cross multiply
    1,022.96x = 1,534.34 × 329.43
  4. Step 4: Simplify right side
    1,022.96x = 505,464.20
  5. Step 5: Solve for x
    x = 505,464.20/1,022.96
  6. Step 6: Final answer
    x = 494.12

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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.