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Finding the Fourth Proportional to 1,188.67, 1,779.12 and 1,074.99

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Solution

The fourth proportional to 1,188.67, 1,779.12 and 1,074.99 is: 1,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.67 : 1,779.12 = 1,074.99 : x
  2. Step 2: Convert to fraction form
    1,188.67/1,779.12 = 1,074.99/x
  3. Step 3: Cross multiply
    1,188.67x = 1,779.12 × 1,074.99
  4. Step 4: Simplify right side
    1,188.67x = 1,912,536.21
  5. Step 5: Solve for x
    x = 1,912,536.21/1,188.67
  6. Step 6: Final answer
    x = 1,608.97

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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.