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Finding the Fourth Proportional to 1,233.68, 1,680.74 and 1,208.39

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Solution

The fourth proportional to 1,233.68, 1,680.74 and 1,208.39 is: 1,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.68 : 1,680.74 = 1,208.39 : x
  2. Step 2: Convert to fraction form
    1,233.68/1,680.74 = 1,208.39/x
  3. Step 3: Cross multiply
    1,233.68x = 1,680.74 × 1,208.39
  4. Step 4: Simplify right side
    1,233.68x = 2,030,984.03
  5. Step 5: Solve for x
    x = 2,030,984.03/1,233.68
  6. Step 6: Final answer
    x = 1,646.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.