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Finding the Fourth Proportional to 1,394.22, 1,924.73 and 1,078.77

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Solution

The fourth proportional to 1,394.22, 1,924.73 and 1,078.77 is: 1,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.22 : 1,924.73 = 1,078.77 : x
  2. Step 2: Convert to fraction form
    1,394.22/1,924.73 = 1,078.77/x
  3. Step 3: Cross multiply
    1,394.22x = 1,924.73 × 1,078.77
  4. Step 4: Simplify right side
    1,394.22x = 2,076,335.59
  5. Step 5: Solve for x
    x = 2,076,335.59/1,394.22
  6. Step 6: Final answer
    x = 1,489.25

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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.