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Finding the Fourth Proportional to 982.21, 1,355.69 and 749.65

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Solution

The fourth proportional to 982.21, 1,355.69 and 749.65 is: 1,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,355.69 = 749.65 : x
  2. Step 2: Convert to fraction form
    982.21/1,355.69 = 749.65/x
  3. Step 3: Cross multiply
    982.21x = 1,355.69 × 749.65
  4. Step 4: Simplify right side
    982.21x = 1,016,293.01
  5. Step 5: Solve for x
    x = 1,016,293.01/982.21
  6. Step 6: Final answer
    x = 1,034.70

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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.