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Finding the Fourth Proportional to 1,380.47, 1,905.41 and 960.89

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Solution

The fourth proportional to 1,380.47, 1,905.41 and 960.89 is: 1,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.47 : 1,905.41 = 960.89 : x
  2. Step 2: Convert to fraction form
    1,380.47/1,905.41 = 960.89/x
  3. Step 3: Cross multiply
    1,380.47x = 1,905.41 × 960.89
  4. Step 4: Simplify right side
    1,380.47x = 1,830,884.61
  5. Step 5: Solve for x
    x = 1,830,884.61/1,380.47
  6. Step 6: Final answer
    x = 1,326.28

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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.