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Finding the Fourth Proportional to 874.17, 1,206.38 and 481.23

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Solution

The fourth proportional to 874.17, 1,206.38 and 481.23 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.17 : 1,206.38 = 481.23 : x
  2. Step 2: Convert to fraction form
    874.17/1,206.38 = 481.23/x
  3. Step 3: Cross multiply
    874.17x = 1,206.38 × 481.23
  4. Step 4: Simplify right side
    874.17x = 580,543.84
  5. Step 5: Solve for x
    x = 580,543.84/874.17
  6. Step 6: Final answer
    x = 664.11

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Half scale
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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.