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Finding the Fourth Proportional to 1,194.13, 1,793.22 and 732.84

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Solution

The fourth proportional to 1,194.13, 1,793.22 and 732.84 is: 1,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.13 : 1,793.22 = 732.84 : x
  2. Step 2: Convert to fraction form
    1,194.13/1,793.22 = 732.84/x
  3. Step 3: Cross multiply
    1,194.13x = 1,793.22 × 732.84
  4. Step 4: Simplify right side
    1,194.13x = 1,314,143.34
  5. Step 5: Solve for x
    x = 1,314,143.34/1,194.13
  6. Step 6: Final answer
    x = 1,100.50

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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.