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Finding the Fourth Proportional to 1,188.84, 1,781.37 and 797.39

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Solution

The fourth proportional to 1,188.84, 1,781.37 and 797.39 is: 1,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.84 : 1,781.37 = 797.39 : x
  2. Step 2: Convert to fraction form
    1,188.84/1,781.37 = 797.39/x
  3. Step 3: Cross multiply
    1,188.84x = 1,781.37 × 797.39
  4. Step 4: Simplify right side
    1,188.84x = 1,420,452.18
  5. Step 5: Solve for x
    x = 1,420,452.18/1,188.84
  6. Step 6: Final answer
    x = 1,194.83

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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.