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Finding the Fourth Proportional to 1,196.27, 1,796.39 and 808.78

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Solution

The fourth proportional to 1,196.27, 1,796.39 and 808.78 is: 1,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.27 : 1,796.39 = 808.78 : x
  2. Step 2: Convert to fraction form
    1,196.27/1,796.39 = 808.78/x
  3. Step 3: Cross multiply
    1,196.27x = 1,796.39 × 808.78
  4. Step 4: Simplify right side
    1,196.27x = 1,452,871.28
  5. Step 5: Solve for x
    x = 1,452,871.28/1,196.27
  6. Step 6: Final answer
    x = 1,214.50

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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.