Home / 1,452.25-2,003.97-822.80

Finding the Fourth Proportional to 1,452.25, 2,003.97 and 822.80

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Solution

The fourth proportional to 1,452.25, 2,003.97 and 822.80 is: 1,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.25 : 2,003.97 = 822.80 : x
  2. Step 2: Convert to fraction form
    1,452.25/2,003.97 = 822.80/x
  3. Step 3: Cross multiply
    1,452.25x = 2,003.97 × 822.80
  4. Step 4: Simplify right side
    1,452.25x = 1,648,866.52
  5. Step 5: Solve for x
    x = 1,648,866.52/1,452.25
  6. Step 6: Final answer
    x = 1,135.39

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1.5x scale

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.