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Finding the Fourth Proportional to 1,234.87, 1,703.82 and 793.37

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Solution

The fourth proportional to 1,234.87, 1,703.82 and 793.37 is: 1,094.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.87 : 1,703.82 = 793.37 : x
  2. Step 2: Convert to fraction form
    1,234.87/1,703.82 = 793.37/x
  3. Step 3: Cross multiply
    1,234.87x = 1,703.82 × 793.37
  4. Step 4: Simplify right side
    1,234.87x = 1,351,759.67
  5. Step 5: Solve for x
    x = 1,351,759.67/1,234.87
  6. Step 6: Final answer
    x = 1,094.66

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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.