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Finding the Fourth Proportional to 1,213.37, 1,674 and 793.96

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Solution

The fourth proportional to 1,213.37, 1,674 and 793.96 is: 1,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.37 : 1,674 = 793.96 : x
  2. Step 2: Convert to fraction form
    1,213.37/1,674 = 793.96/x
  3. Step 3: Cross multiply
    1,213.37x = 1,674 × 793.96
  4. Step 4: Simplify right side
    1,213.37x = 1,329,089.04
  5. Step 5: Solve for x
    x = 1,329,089.04/1,213.37
  6. Step 6: Final answer
    x = 1,095.37

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Why These Related Problems?

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