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Finding the Fourth Proportional to 984.84, 1,477.08 and 300.84

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Solution

The fourth proportional to 984.84, 1,477.08 and 300.84 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,477.08 = 300.84 : x
  2. Step 2: Convert to fraction form
    984.84/1,477.08 = 300.84/x
  3. Step 3: Cross multiply
    984.84x = 1,477.08 × 300.84
  4. Step 4: Simplify right side
    984.84x = 444,364.75
  5. Step 5: Solve for x
    x = 444,364.75/984.84
  6. Step 6: Final answer
    x = 451.21

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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.