Home / 1,470.24-2,205.97-821.43

Finding the Fourth Proportional to 1,470.24, 2,205.97 and 821.43

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Solution

The fourth proportional to 1,470.24, 2,205.97 and 821.43 is: 1,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.24 : 2,205.97 = 821.43 : x
  2. Step 2: Convert to fraction form
    1,470.24/2,205.97 = 821.43/x
  3. Step 3: Cross multiply
    1,470.24x = 2,205.97 × 821.43
  4. Step 4: Simplify right side
    1,470.24x = 1,812,049.94
  5. Step 5: Solve for x
    x = 1,812,049.94/1,470.24
  6. Step 6: Final answer
    x = 1,232.49

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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.