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Finding the Fourth Proportional to 1,770.93, 2,657.31 and 796.83

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Solution

The fourth proportional to 1,770.93, 2,657.31 and 796.83 is: 1,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.93 : 2,657.31 = 796.83 : x
  2. Step 2: Convert to fraction form
    1,770.93/2,657.31 = 796.83/x
  3. Step 3: Cross multiply
    1,770.93x = 2,657.31 × 796.83
  4. Step 4: Simplify right side
    1,770.93x = 2,117,424.33
  5. Step 5: Solve for x
    x = 2,117,424.33/1,770.93
  6. Step 6: Final answer
    x = 1,195.66

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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.