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Finding the Fourth Proportional to 1,161.36, 1,600.56 and 829.80

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Solution

The fourth proportional to 1,161.36, 1,600.56 and 829.80 is: 1,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.36 : 1,600.56 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,161.36/1,600.56 = 829.80/x
  3. Step 3: Cross multiply
    1,161.36x = 1,600.56 × 829.80
  4. Step 4: Simplify right side
    1,161.36x = 1,328,144.69
  5. Step 5: Solve for x
    x = 1,328,144.69/1,161.36
  6. Step 6: Final answer
    x = 1,143.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.