Home / 1,131.24-1,695.38-819.94

Finding the Fourth Proportional to 1,131.24, 1,695.38 and 819.94

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Solution

The fourth proportional to 1,131.24, 1,695.38 and 819.94 is: 1,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.24 : 1,695.38 = 819.94 : x
  2. Step 2: Convert to fraction form
    1,131.24/1,695.38 = 819.94/x
  3. Step 3: Cross multiply
    1,131.24x = 1,695.38 × 819.94
  4. Step 4: Simplify right side
    1,131.24x = 1,390,109.88
  5. Step 5: Solve for x
    x = 1,390,109.88/1,131.24
  6. Step 6: Final answer
    x = 1,228.84

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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.