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Finding the Fourth Proportional to 1,379.92, 1,904.34 and 790.40

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Solution

The fourth proportional to 1,379.92, 1,904.34 and 790.40 is: 1,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.92 : 1,904.34 = 790.40 : x
  2. Step 2: Convert to fraction form
    1,379.92/1,904.34 = 790.40/x
  3. Step 3: Cross multiply
    1,379.92x = 1,904.34 × 790.40
  4. Step 4: Simplify right side
    1,379.92x = 1,505,190.34
  5. Step 5: Solve for x
    x = 1,505,190.34/1,379.92
  6. Step 6: Final answer
    x = 1,090.78

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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.