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Finding the Fourth Proportional to 894.78, 1,234.76 and 496.48

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Solution

The fourth proportional to 894.78, 1,234.76 and 496.48 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.78 : 1,234.76 = 496.48 : x
  2. Step 2: Convert to fraction form
    894.78/1,234.76 = 496.48/x
  3. Step 3: Cross multiply
    894.78x = 1,234.76 × 496.48
  4. Step 4: Simplify right side
    894.78x = 613,033.64
  5. Step 5: Solve for x
    x = 613,033.64/894.78
  6. Step 6: Final answer
    x = 685.12

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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.