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Finding the Fourth Proportional to 894.39, 1,234.20 and 496.07

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Solution

The fourth proportional to 894.39, 1,234.20 and 496.07 is: 684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,234.20 = 496.07 : x
  2. Step 2: Convert to fraction form
    894.39/1,234.20 = 496.07/x
  3. Step 3: Cross multiply
    894.39x = 1,234.20 × 496.07
  4. Step 4: Simplify right side
    894.39x = 612,250.20
  5. Step 5: Solve for x
    x = 612,250.20/894.39
  6. Step 6: Final answer
    x = 684.54

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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.