Home / 1,028.28-1,542.96-450.48

Finding the Fourth Proportional to 1,028.28, 1,542.96 and 450.48

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Solution

The fourth proportional to 1,028.28, 1,542.96 and 450.48 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.28 : 1,542.96 = 450.48 : x
  2. Step 2: Convert to fraction form
    1,028.28/1,542.96 = 450.48/x
  3. Step 3: Cross multiply
    1,028.28x = 1,542.96 × 450.48
  4. Step 4: Simplify right side
    1,028.28x = 695,072.62
  5. Step 5: Solve for x
    x = 695,072.62/1,028.28
  6. Step 6: Final answer
    x = 675.96

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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.