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Finding the Fourth Proportional to 1,000.41, 1,379.05 and 790.21

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Solution

The fourth proportional to 1,000.41, 1,379.05 and 790.21 is: 1,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.41 : 1,379.05 = 790.21 : x
  2. Step 2: Convert to fraction form
    1,000.41/1,379.05 = 790.21/x
  3. Step 3: Cross multiply
    1,000.41x = 1,379.05 × 790.21
  4. Step 4: Simplify right side
    1,000.41x = 1,089,739.10
  5. Step 5: Solve for x
    x = 1,089,739.10/1,000.41
  6. Step 6: Final answer
    x = 1,089.29

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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.