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Finding the Fourth Proportional to 984.14, 1,476.18 and 496.84

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Solution

The fourth proportional to 984.14, 1,476.18 and 496.84 is: 745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.14 : 1,476.18 = 496.84 : x
  2. Step 2: Convert to fraction form
    984.14/1,476.18 = 496.84/x
  3. Step 3: Cross multiply
    984.14x = 1,476.18 × 496.84
  4. Step 4: Simplify right side
    984.14x = 733,425.27
  5. Step 5: Solve for x
    x = 733,425.27/984.14
  6. Step 6: Final answer
    x = 745.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.