Home / 1,350.43-2,024.19-772.27

Finding the Fourth Proportional to 1,350.43, 2,024.19 and 772.27

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Solution

The fourth proportional to 1,350.43, 2,024.19 and 772.27 is: 1,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.43 : 2,024.19 = 772.27 : x
  2. Step 2: Convert to fraction form
    1,350.43/2,024.19 = 772.27/x
  3. Step 3: Cross multiply
    1,350.43x = 2,024.19 × 772.27
  4. Step 4: Simplify right side
    1,350.43x = 1,563,221.21
  5. Step 5: Solve for x
    x = 1,563,221.21/1,350.43
  6. Step 6: Final answer
    x = 1,157.57

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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.