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Finding the Fourth Proportional to 1,383.97, 2,076.13 and 460.12

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Solution

The fourth proportional to 1,383.97, 2,076.13 and 460.12 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.97 : 2,076.13 = 460.12 : x
  2. Step 2: Convert to fraction form
    1,383.97/2,076.13 = 460.12/x
  3. Step 3: Cross multiply
    1,383.97x = 2,076.13 × 460.12
  4. Step 4: Simplify right side
    1,383.97x = 955,268.94
  5. Step 5: Solve for x
    x = 955,268.94/1,383.97
  6. Step 6: Final answer
    x = 690.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.