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Finding the Fourth Proportional to 982.30, 1,351.98 and 862

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Solution

The fourth proportional to 982.30, 1,351.98 and 862 is: 1,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.30 : 1,351.98 = 862 : x
  2. Step 2: Convert to fraction form
    982.30/1,351.98 = 862/x
  3. Step 3: Cross multiply
    982.30x = 1,351.98 × 862
  4. Step 4: Simplify right side
    982.30x = 1,165,406.76
  5. Step 5: Solve for x
    x = 1,165,406.76/982.30
  6. Step 6: Final answer
    x = 1,186.41

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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.