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Finding the Fourth Proportional to 984.56, 1,475.72 and 496.88

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Solution

The fourth proportional to 984.56, 1,475.72 and 496.88 is: 744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.56 : 1,475.72 = 496.88 : x
  2. Step 2: Convert to fraction form
    984.56/1,475.72 = 496.88/x
  3. Step 3: Cross multiply
    984.56x = 1,475.72 × 496.88
  4. Step 4: Simplify right side
    984.56x = 733,255.75
  5. Step 5: Solve for x
    x = 733,255.75/984.56
  6. Step 6: Final answer
    x = 744.75

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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.