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Finding the Fourth Proportional to 1,195.03, 1,647.29 and 796.04

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Solution

The fourth proportional to 1,195.03, 1,647.29 and 796.04 is: 1,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.03 : 1,647.29 = 796.04 : x
  2. Step 2: Convert to fraction form
    1,195.03/1,647.29 = 796.04/x
  3. Step 3: Cross multiply
    1,195.03x = 1,647.29 × 796.04
  4. Step 4: Simplify right side
    1,195.03x = 1,311,308.73
  5. Step 5: Solve for x
    x = 1,311,308.73/1,195.03
  6. Step 6: Final answer
    x = 1,097.30

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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.