Home / 1,150.20-1,724.19-419.28

Finding the Fourth Proportional to 1,150.20, 1,724.19 and 419.28

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Solution

The fourth proportional to 1,150.20, 1,724.19 and 419.28 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.20 : 1,724.19 = 419.28 : x
  2. Step 2: Convert to fraction form
    1,150.20/1,724.19 = 419.28/x
  3. Step 3: Cross multiply
    1,150.20x = 1,724.19 × 419.28
  4. Step 4: Simplify right side
    1,150.20x = 722,910.35
  5. Step 5: Solve for x
    x = 722,910.35/1,150.20
  6. Step 6: Final answer
    x = 628.51

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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.