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Finding the Fourth Proportional to 984.22, 1,476.33 and 436.40

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Solution

The fourth proportional to 984.22, 1,476.33 and 436.40 is: 654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.22 : 1,476.33 = 436.40 : x
  2. Step 2: Convert to fraction form
    984.22/1,476.33 = 436.40/x
  3. Step 3: Cross multiply
    984.22x = 1,476.33 × 436.40
  4. Step 4: Simplify right side
    984.22x = 644,270.41
  5. Step 5: Solve for x
    x = 644,270.41/984.22
  6. Step 6: Final answer
    x = 654.60

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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.