Home / 1,420.83-2,131.34-496.62

Finding the Fourth Proportional to 1,420.83, 2,131.34 and 496.62

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Solution

The fourth proportional to 1,420.83, 2,131.34 and 496.62 is: 744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.83 : 2,131.34 = 496.62 : x
  2. Step 2: Convert to fraction form
    1,420.83/2,131.34 = 496.62/x
  3. Step 3: Cross multiply
    1,420.83x = 2,131.34 × 496.62
  4. Step 4: Simplify right side
    1,420.83x = 1,058,452.93
  5. Step 5: Solve for x
    x = 1,058,452.93/1,420.83
  6. Step 6: Final answer
    x = 744.96

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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.