Home / 1,012.24-1,518.44-281.84

Finding the Fourth Proportional to 1,012.24, 1,518.44 and 281.84

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Solution

The fourth proportional to 1,012.24, 1,518.44 and 281.84 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.24 : 1,518.44 = 281.84 : x
  2. Step 2: Convert to fraction form
    1,012.24/1,518.44 = 281.84/x
  3. Step 3: Cross multiply
    1,012.24x = 1,518.44 × 281.84
  4. Step 4: Simplify right side
    1,012.24x = 427,957.13
  5. Step 5: Solve for x
    x = 427,957.13/1,012.24
  6. Step 6: Final answer
    x = 422.78

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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.