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Finding the Fourth Proportional to 1,194.44, 1,794.15 and 732.47

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Solution

The fourth proportional to 1,194.44, 1,794.15 and 732.47 is: 1,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.44 : 1,794.15 = 732.47 : x
  2. Step 2: Convert to fraction form
    1,194.44/1,794.15 = 732.47/x
  3. Step 3: Cross multiply
    1,194.44x = 1,794.15 × 732.47
  4. Step 4: Simplify right side
    1,194.44x = 1,314,152.08
  5. Step 5: Solve for x
    x = 1,314,152.08/1,194.44
  6. Step 6: Final answer
    x = 1,100.23

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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.