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Finding the Fourth Proportional to 879.02, 1,312.82 and 796.59

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Solution

The fourth proportional to 879.02, 1,312.82 and 796.59 is: 1,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.02 : 1,312.82 = 796.59 : x
  2. Step 2: Convert to fraction form
    879.02/1,312.82 = 796.59/x
  3. Step 3: Cross multiply
    879.02x = 1,312.82 × 796.59
  4. Step 4: Simplify right side
    879.02x = 1,045,778.29
  5. Step 5: Solve for x
    x = 1,045,778.29/879.02
  6. Step 6: Final answer
    x = 1,189.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.