Home / 1,022.24-1,408.22-844.46

Finding the Fourth Proportional to 1,022.24, 1,408.22 and 844.46

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Solution

The fourth proportional to 1,022.24, 1,408.22 and 844.46 is: 1,163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.24 : 1,408.22 = 844.46 : x
  2. Step 2: Convert to fraction form
    1,022.24/1,408.22 = 844.46/x
  3. Step 3: Cross multiply
    1,022.24x = 1,408.22 × 844.46
  4. Step 4: Simplify right side
    1,022.24x = 1,189,185.46
  5. Step 5: Solve for x
    x = 1,189,185.46/1,022.24
  6. Step 6: Final answer
    x = 1,163.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.