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Finding the Fourth Proportional to 1,193.93, 1,646.74 and 696.54

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Solution

The fourth proportional to 1,193.93, 1,646.74 and 696.54 is: 960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.93 : 1,646.74 = 696.54 : x
  2. Step 2: Convert to fraction form
    1,193.93/1,646.74 = 696.54/x
  3. Step 3: Cross multiply
    1,193.93x = 1,646.74 × 696.54
  4. Step 4: Simplify right side
    1,193.93x = 1,147,018.54
  5. Step 5: Solve for x
    x = 1,147,018.54/1,193.93
  6. Step 6: Final answer
    x = 960.71

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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.