Home / 1,028.23-1,418.82-580.12

Finding the Fourth Proportional to 1,028.23, 1,418.82 and 580.12

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Solution

The fourth proportional to 1,028.23, 1,418.82 and 580.12 is: 800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.23 : 1,418.82 = 580.12 : x
  2. Step 2: Convert to fraction form
    1,028.23/1,418.82 = 580.12/x
  3. Step 3: Cross multiply
    1,028.23x = 1,418.82 × 580.12
  4. Step 4: Simplify right side
    1,028.23x = 823,090.11
  5. Step 5: Solve for x
    x = 823,090.11/1,028.23
  6. Step 6: Final answer
    x = 800.49

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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.