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Finding the Fourth Proportional to 1,194.38, 1,799.70 and 993.45

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Solution

The fourth proportional to 1,194.38, 1,799.70 and 993.45 is: 1,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.38 : 1,799.70 = 993.45 : x
  2. Step 2: Convert to fraction form
    1,194.38/1,799.70 = 993.45/x
  3. Step 3: Cross multiply
    1,194.38x = 1,799.70 × 993.45
  4. Step 4: Simplify right side
    1,194.38x = 1,787,911.97
  5. Step 5: Solve for x
    x = 1,787,911.97/1,194.38
  6. Step 6: Final answer
    x = 1,496.94

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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 (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.