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Finding the Fourth Proportional to 685.22, 1,025.73 and 441.23

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Solution

The fourth proportional to 685.22, 1,025.73 and 441.23 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.22 : 1,025.73 = 441.23 : x
  2. Step 2: Convert to fraction form
    685.22/1,025.73 = 441.23/x
  3. Step 3: Cross multiply
    685.22x = 1,025.73 × 441.23
  4. Step 4: Simplify right side
    685.22x = 452,577.72
  5. Step 5: Solve for x
    x = 452,577.72/685.22
  6. Step 6: Final answer
    x = 660.49

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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.