Home / 1,591.04-2,383.36-820.16

Finding the Fourth Proportional to 1,591.04, 2,383.36 and 820.16

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Solution

The fourth proportional to 1,591.04, 2,383.36 and 820.16 is: 1,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.04 : 2,383.36 = 820.16 : x
  2. Step 2: Convert to fraction form
    1,591.04/2,383.36 = 820.16/x
  3. Step 3: Cross multiply
    1,591.04x = 2,383.36 × 820.16
  4. Step 4: Simplify right side
    1,591.04x = 1,954,736.54
  5. Step 5: Solve for x
    x = 1,954,736.54/1,591.04
  6. Step 6: Final answer
    x = 1,228.59

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1.5x scale

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.