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Finding the Fourth Proportional to 1,380.89, 2,071.42 and 559.18

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Solution

The fourth proportional to 1,380.89, 2,071.42 and 559.18 is: 838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.89 : 2,071.42 = 559.18 : x
  2. Step 2: Convert to fraction form
    1,380.89/2,071.42 = 559.18/x
  3. Step 3: Cross multiply
    1,380.89x = 2,071.42 × 559.18
  4. Step 4: Simplify right side
    1,380.89x = 1,158,286.18
  5. Step 5: Solve for x
    x = 1,158,286.18/1,380.89
  6. Step 6: Final answer
    x = 838.80

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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.