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Finding the Fourth Proportional to 1,193.70, 1,647.30 and 696.38

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Solution

The fourth proportional to 1,193.70, 1,647.30 and 696.38 is: 960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.70 : 1,647.30 = 696.38 : x
  2. Step 2: Convert to fraction form
    1,193.70/1,647.30 = 696.38/x
  3. Step 3: Cross multiply
    1,193.70x = 1,647.30 × 696.38
  4. Step 4: Simplify right side
    1,193.70x = 1,147,138.54
  5. Step 5: Solve for x
    x = 1,147,138.54/1,193.70
  6. Step 6: Final answer
    x = 960.99

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Half 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.