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Finding the Fourth Proportional to 1,071.55, 1,608.18 and 919.27

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Solution

The fourth proportional to 1,071.55, 1,608.18 and 919.27 is: 1,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.55 : 1,608.18 = 919.27 : x
  2. Step 2: Convert to fraction form
    1,071.55/1,608.18 = 919.27/x
  3. Step 3: Cross multiply
    1,071.55x = 1,608.18 × 919.27
  4. Step 4: Simplify right side
    1,071.55x = 1,478,351.63
  5. Step 5: Solve for x
    x = 1,478,351.63/1,071.55
  6. Step 6: Final answer
    x = 1,379.64

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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.