Home / 1,144.20-1,722.38-821.82

Finding the Fourth Proportional to 1,144.20, 1,722.38 and 821.82

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Solution

The fourth proportional to 1,144.20, 1,722.38 and 821.82 is: 1,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.20 : 1,722.38 = 821.82 : x
  2. Step 2: Convert to fraction form
    1,144.20/1,722.38 = 821.82/x
  3. Step 3: Cross multiply
    1,144.20x = 1,722.38 × 821.82
  4. Step 4: Simplify right side
    1,144.20x = 1,415,486.33
  5. Step 5: Solve for x
    x = 1,415,486.33/1,144.20
  6. Step 6: Final answer
    x = 1,237.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.