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Finding the Fourth Proportional to 1,380.67, 1,904.94 and 960.55

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Solution

The fourth proportional to 1,380.67, 1,904.94 and 960.55 is: 1,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.67 : 1,904.94 = 960.55 : x
  2. Step 2: Convert to fraction form
    1,380.67/1,904.94 = 960.55/x
  3. Step 3: Cross multiply
    1,380.67x = 1,904.94 × 960.55
  4. Step 4: Simplify right side
    1,380.67x = 1,829,785.35
  5. Step 5: Solve for x
    x = 1,829,785.35/1,380.67
  6. Step 6: Final answer
    x = 1,325.29

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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.