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Finding the Fourth Proportional to 712.56, 982.44 and 581.28

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Solution

The fourth proportional to 712.56, 982.44 and 581.28 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 982.44 = 581.28 : x
  2. Step 2: Convert to fraction form
    712.56/982.44 = 581.28/x
  3. Step 3: Cross multiply
    712.56x = 982.44 × 581.28
  4. Step 4: Simplify right side
    712.56x = 571,072.72
  5. Step 5: Solve for x
    x = 571,072.72/712.56
  6. Step 6: Final answer
    x = 801.44

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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.