Home / 1,451.64-2,003.21-822.25

Finding the Fourth Proportional to 1,451.64, 2,003.21 and 822.25

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Solution

The fourth proportional to 1,451.64, 2,003.21 and 822.25 is: 1,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.64 : 2,003.21 = 822.25 : x
  2. Step 2: Convert to fraction form
    1,451.64/2,003.21 = 822.25/x
  3. Step 3: Cross multiply
    1,451.64x = 2,003.21 × 822.25
  4. Step 4: Simplify right side
    1,451.64x = 1,647,143.79
  5. Step 5: Solve for x
    x = 1,647,143.79/1,451.64
  6. Step 6: Final answer
    x = 1,134.68

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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.