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Finding the Fourth Proportional to 1,379.09, 1,903.40 and 819.89

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Solution

The fourth proportional to 1,379.09, 1,903.40 and 819.89 is: 1,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.09 : 1,903.40 = 819.89 : x
  2. Step 2: Convert to fraction form
    1,379.09/1,903.40 = 819.89/x
  3. Step 3: Cross multiply
    1,379.09x = 1,903.40 × 819.89
  4. Step 4: Simplify right side
    1,379.09x = 1,560,575.22
  5. Step 5: Solve for x
    x = 1,560,575.22/1,379.09
  6. Step 6: Final answer
    x = 1,131.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.