Home / 1,420.53-2,131.41-496.75

Finding the Fourth Proportional to 1,420.53, 2,131.41 and 496.75

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Solution

The fourth proportional to 1,420.53, 2,131.41 and 496.75 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.53 : 2,131.41 = 496.75 : x
  2. Step 2: Convert to fraction form
    1,420.53/2,131.41 = 496.75/x
  3. Step 3: Cross multiply
    1,420.53x = 2,131.41 × 496.75
  4. Step 4: Simplify right side
    1,420.53x = 1,058,778.45
  5. Step 5: Solve for x
    x = 1,058,778.45/1,420.53
  6. Step 6: Final answer
    x = 745.34

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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.