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Finding the Fourth Proportional to 1,770.39, 2,656.58 and 796.59

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Solution

The fourth proportional to 1,770.39, 2,656.58 and 796.59 is: 1,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.39 : 2,656.58 = 796.59 : x
  2. Step 2: Convert to fraction form
    1,770.39/2,656.58 = 796.59/x
  3. Step 3: Cross multiply
    1,770.39x = 2,656.58 × 796.59
  4. Step 4: Simplify right side
    1,770.39x = 2,116,201.08
  5. Step 5: Solve for x
    x = 2,116,201.08/1,770.39
  6. Step 6: Final answer
    x = 1,195.33

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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.