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Finding the Fourth Proportional to 796.04, 1,192.41 and 786.32

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Solution

The fourth proportional to 796.04, 1,192.41 and 786.32 is: 1,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.04 : 1,192.41 = 786.32 : x
  2. Step 2: Convert to fraction form
    796.04/1,192.41 = 786.32/x
  3. Step 3: Cross multiply
    796.04x = 1,192.41 × 786.32
  4. Step 4: Simplify right side
    796.04x = 937,615.83
  5. Step 5: Solve for x
    x = 937,615.83/796.04
  6. Step 6: Final answer
    x = 1,177.85

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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.