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Finding the Fourth Proportional to 982.58, 1,355.25 and 698.54

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Solution

The fourth proportional to 982.58, 1,355.25 and 698.54 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.58 : 1,355.25 = 698.54 : x
  2. Step 2: Convert to fraction form
    982.58/1,355.25 = 698.54/x
  3. Step 3: Cross multiply
    982.58x = 1,355.25 × 698.54
  4. Step 4: Simplify right side
    982.58x = 946,696.34
  5. Step 5: Solve for x
    x = 946,696.34/982.58
  6. Step 6: Final answer
    x = 963.48

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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.