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Finding the Fourth Proportional to 1,208.14, 1,811.43 and 386.14

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Solution

The fourth proportional to 1,208.14, 1,811.43 and 386.14 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.14 : 1,811.43 = 386.14 : x
  2. Step 2: Convert to fraction form
    1,208.14/1,811.43 = 386.14/x
  3. Step 3: Cross multiply
    1,208.14x = 1,811.43 × 386.14
  4. Step 4: Simplify right side
    1,208.14x = 699,465.58
  5. Step 5: Solve for x
    x = 699,465.58/1,208.14
  6. Step 6: Final answer
    x = 578.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.