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Finding the Fourth Proportional to 1,380.15, 1,904.75 and 790.57

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Solution

The fourth proportional to 1,380.15, 1,904.75 and 790.57 is: 1,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.15 : 1,904.75 = 790.57 : x
  2. Step 2: Convert to fraction form
    1,380.15/1,904.75 = 790.57/x
  3. Step 3: Cross multiply
    1,380.15x = 1,904.75 × 790.57
  4. Step 4: Simplify right side
    1,380.15x = 1,505,839.60
  5. Step 5: Solve for x
    x = 1,505,839.60/1,380.15
  6. Step 6: Final answer
    x = 1,091.07

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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.