Home / 1,020.80-1,531.20-280.42

Finding the Fourth Proportional to 1,020.80, 1,531.20 and 280.42

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Solution

The fourth proportional to 1,020.80, 1,531.20 and 280.42 is: 420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.80 : 1,531.20 = 280.42 : x
  2. Step 2: Convert to fraction form
    1,020.80/1,531.20 = 280.42/x
  3. Step 3: Cross multiply
    1,020.80x = 1,531.20 × 280.42
  4. Step 4: Simplify right side
    1,020.80x = 429,377.30
  5. Step 5: Solve for x
    x = 429,377.30/1,020.80
  6. Step 6: Final answer
    x = 420.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.