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Finding the Fourth Proportional to 984.21, 1,474.17 and 617.21

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Solution

The fourth proportional to 984.21, 1,474.17 and 617.21 is: 924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.21 : 1,474.17 = 617.21 : x
  2. Step 2: Convert to fraction form
    984.21/1,474.17 = 617.21/x
  3. Step 3: Cross multiply
    984.21x = 1,474.17 × 617.21
  4. Step 4: Simplify right side
    984.21x = 909,865.09
  5. Step 5: Solve for x
    x = 909,865.09/984.21
  6. Step 6: Final answer
    x = 924.46

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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.