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Finding the Fourth Proportional to 746.16, 1,119.39 and 226.19

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Solution

The fourth proportional to 746.16, 1,119.39 and 226.19 is: 339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.16 : 1,119.39 = 226.19 : x
  2. Step 2: Convert to fraction form
    746.16/1,119.39 = 226.19/x
  3. Step 3: Cross multiply
    746.16x = 1,119.39 × 226.19
  4. Step 4: Simplify right side
    746.16x = 253,198.68
  5. Step 5: Solve for x
    x = 253,198.68/746.16
  6. Step 6: Final answer
    x = 339.33

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Double scale
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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.