Home / 1,450.68-2,002.12-821.31

Finding the Fourth Proportional to 1,450.68, 2,002.12 and 821.31

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Solution

The fourth proportional to 1,450.68, 2,002.12 and 821.31 is: 1,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.68 : 2,002.12 = 821.31 : x
  2. Step 2: Convert to fraction form
    1,450.68/2,002.12 = 821.31/x
  3. Step 3: Cross multiply
    1,450.68x = 2,002.12 × 821.31
  4. Step 4: Simplify right side
    1,450.68x = 1,644,351.62
  5. Step 5: Solve for x
    x = 1,644,351.62/1,450.68
  6. Step 6: Final answer
    x = 1,133.51

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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.