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Finding the Fourth Proportional to 874.37, 1,206.63 and 481.40

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Solution

The fourth proportional to 874.37, 1,206.63 and 481.40 is: 664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.37 : 1,206.63 = 481.40 : x
  2. Step 2: Convert to fraction form
    874.37/1,206.63 = 481.40/x
  3. Step 3: Cross multiply
    874.37x = 1,206.63 × 481.40
  4. Step 4: Simplify right side
    874.37x = 580,865.65
  5. Step 5: Solve for x
    x = 580,865.65/874.37
  6. Step 6: Final answer
    x = 664.33

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.