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Finding the Fourth Proportional to 1,196.24, 1,794.35 and 466.33

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Solution

The fourth proportional to 1,196.24, 1,794.35 and 466.33 is: 699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.24 : 1,794.35 = 466.33 : x
  2. Step 2: Convert to fraction form
    1,196.24/1,794.35 = 466.33/x
  3. Step 3: Cross multiply
    1,196.24x = 1,794.35 × 466.33
  4. Step 4: Simplify right side
    1,196.24x = 836,759.24
  5. Step 5: Solve for x
    x = 836,759.24/1,196.24
  6. Step 6: Final answer
    x = 699.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.