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Finding the Fourth Proportional to 1,120.39, 1,677.33 and 796.39

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Solution

The fourth proportional to 1,120.39, 1,677.33 and 796.39 is: 1,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.39 : 1,677.33 = 796.39 : x
  2. Step 2: Convert to fraction form
    1,120.39/1,677.33 = 796.39/x
  3. Step 3: Cross multiply
    1,120.39x = 1,677.33 × 796.39
  4. Step 4: Simplify right side
    1,120.39x = 1,335,808.84
  5. Step 5: Solve for x
    x = 1,335,808.84/1,120.39
  6. Step 6: Final answer
    x = 1,192.27

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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.