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Finding the Fourth Proportional to 1,194.09, 1,790.96 and 403.44

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Solution

The fourth proportional to 1,194.09, 1,790.96 and 403.44 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.09 : 1,790.96 = 403.44 : x
  2. Step 2: Convert to fraction form
    1,194.09/1,790.96 = 403.44/x
  3. Step 3: Cross multiply
    1,194.09x = 1,790.96 × 403.44
  4. Step 4: Simplify right side
    1,194.09x = 722,542.89
  5. Step 5: Solve for x
    x = 722,542.89/1,194.09
  6. Step 6: Final answer
    x = 605.10

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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.