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Finding the Fourth Proportional to 1,208.07, 1,811.75 and 386.15

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Solution

The fourth proportional to 1,208.07, 1,811.75 and 386.15 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.07 : 1,811.75 = 386.15 : x
  2. Step 2: Convert to fraction form
    1,208.07/1,811.75 = 386.15/x
  3. Step 3: Cross multiply
    1,208.07x = 1,811.75 × 386.15
  4. Step 4: Simplify right side
    1,208.07x = 699,596.27
  5. Step 5: Solve for x
    x = 699,596.27/1,208.07
  6. Step 6: Final answer
    x = 579.10

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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.