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Finding the Fourth Proportional to 1,185.81, 1,778.94 and 455.33

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Solution

The fourth proportional to 1,185.81, 1,778.94 and 455.33 is: 683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.81 : 1,778.94 = 455.33 : x
  2. Step 2: Convert to fraction form
    1,185.81/1,778.94 = 455.33/x
  3. Step 3: Cross multiply
    1,185.81x = 1,778.94 × 455.33
  4. Step 4: Simplify right side
    1,185.81x = 810,002.53
  5. Step 5: Solve for x
    x = 810,002.53/1,185.81
  6. Step 6: Final answer
    x = 683.08

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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.