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Finding the Fourth Proportional to 982.33, 1,472.58 and 494.81

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Solution

The fourth proportional to 982.33, 1,472.58 and 494.81 is: 741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.33 : 1,472.58 = 494.81 : x
  2. Step 2: Convert to fraction form
    982.33/1,472.58 = 494.81/x
  3. Step 3: Cross multiply
    982.33x = 1,472.58 × 494.81
  4. Step 4: Simplify right side
    982.33x = 728,644.84
  5. Step 5: Solve for x
    x = 728,644.84/982.33
  6. Step 6: Final answer
    x = 741.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.