Home / 1,028.06-1,418.67-562.22

Finding the Fourth Proportional to 1,028.06, 1,418.67 and 562.22

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Solution

The fourth proportional to 1,028.06, 1,418.67 and 562.22 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,418.67 = 562.22 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,418.67 = 562.22/x
  3. Step 3: Cross multiply
    1,028.06x = 1,418.67 × 562.22
  4. Step 4: Simplify right side
    1,028.06x = 797,604.65
  5. Step 5: Solve for x
    x = 797,604.65/1,028.06
  6. Step 6: Final answer
    x = 775.83

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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.