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Finding the Fourth Proportional to 829.63, 1,138.76 and 793.99

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Solution

The fourth proportional to 829.63, 1,138.76 and 793.99 is: 1,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.63 : 1,138.76 = 793.99 : x
  2. Step 2: Convert to fraction form
    829.63/1,138.76 = 793.99/x
  3. Step 3: Cross multiply
    829.63x = 1,138.76 × 793.99
  4. Step 4: Simplify right side
    829.63x = 904,163.19
  5. Step 5: Solve for x
    x = 904,163.19/829.63
  6. Step 6: Final answer
    x = 1,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.