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Finding the Fourth Proportional to 865.45, 1,194.27 and 472.46

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Solution

The fourth proportional to 865.45, 1,194.27 and 472.46 is: 651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.45 : 1,194.27 = 472.46 : x
  2. Step 2: Convert to fraction form
    865.45/1,194.27 = 472.46/x
  3. Step 3: Cross multiply
    865.45x = 1,194.27 × 472.46
  4. Step 4: Simplify right side
    865.45x = 564,244.80
  5. Step 5: Solve for x
    x = 564,244.80/865.45
  6. Step 6: Final answer
    x = 651.97

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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.