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Finding the Fourth Proportional to 982.84, 1,474.20 and 405.72

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Solution

The fourth proportional to 982.84, 1,474.20 and 405.72 is: 608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.84 : 1,474.20 = 405.72 : x
  2. Step 2: Convert to fraction form
    982.84/1,474.20 = 405.72/x
  3. Step 3: Cross multiply
    982.84x = 1,474.20 × 405.72
  4. Step 4: Simplify right side
    982.84x = 598,112.42
  5. Step 5: Solve for x
    x = 598,112.42/982.84
  6. Step 6: Final answer
    x = 608.56

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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.