Home / 1,024.98-1,414.44-605.28

Finding the Fourth Proportional to 1,024.98, 1,414.44 and 605.28

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Solution

The fourth proportional to 1,024.98, 1,414.44 and 605.28 is: 835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.98 : 1,414.44 = 605.28 : x
  2. Step 2: Convert to fraction form
    1,024.98/1,414.44 = 605.28/x
  3. Step 3: Cross multiply
    1,024.98x = 1,414.44 × 605.28
  4. Step 4: Simplify right side
    1,024.98x = 856,132.24
  5. Step 5: Solve for x
    x = 856,132.24/1,024.98
  6. Step 6: Final answer
    x = 835.27

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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.