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Finding the Fourth Proportional to 982.84, 1,474.16 and 462.68

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Solution

The fourth proportional to 982.84, 1,474.16 and 462.68 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.84 : 1,474.16 = 462.68 : x
  2. Step 2: Convert to fraction form
    982.84/1,474.16 = 462.68/x
  3. Step 3: Cross multiply
    982.84x = 1,474.16 × 462.68
  4. Step 4: Simplify right side
    982.84x = 682,064.35
  5. Step 5: Solve for x
    x = 682,064.35/982.84
  6. Step 6: Final answer
    x = 693.97

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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.