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Finding the Fourth Proportional to 1,188.26, 1,777.15 and 1,079.27

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Solution

The fourth proportional to 1,188.26, 1,777.15 and 1,079.27 is: 1,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.26 : 1,777.15 = 1,079.27 : x
  2. Step 2: Convert to fraction form
    1,188.26/1,777.15 = 1,079.27/x
  3. Step 3: Cross multiply
    1,188.26x = 1,777.15 × 1,079.27
  4. Step 4: Simplify right side
    1,188.26x = 1,918,013.10
  5. Step 5: Solve for x
    x = 1,918,013.10/1,188.26
  6. Step 6: Final answer
    x = 1,614.13

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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.