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Finding the Fourth Proportional to 712.36, 983.04 and 401.92

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Solution

The fourth proportional to 712.36, 983.04 and 401.92 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 983.04 = 401.92 : x
  2. Step 2: Convert to fraction form
    712.36/983.04 = 401.92/x
  3. Step 3: Cross multiply
    712.36x = 983.04 × 401.92
  4. Step 4: Simplify right side
    712.36x = 395,103.44
  5. Step 5: Solve for x
    x = 395,103.44/712.36
  6. Step 6: Final answer
    x = 554.64

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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.