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Finding the Fourth Proportional to 1,194.69, 1,649.24 and 797.03

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Solution

The fourth proportional to 1,194.69, 1,649.24 and 797.03 is: 1,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.69 : 1,649.24 = 797.03 : x
  2. Step 2: Convert to fraction form
    1,194.69/1,649.24 = 797.03/x
  3. Step 3: Cross multiply
    1,194.69x = 1,649.24 × 797.03
  4. Step 4: Simplify right side
    1,194.69x = 1,314,481.53
  5. Step 5: Solve for x
    x = 1,314,481.53/1,194.69
  6. Step 6: Final answer
    x = 1,100.27

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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.