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Finding the Fourth Proportional to 984.21, 1,476.41 and 496.95

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Solution

The fourth proportional to 984.21, 1,476.41 and 496.95 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.21 : 1,476.41 = 496.95 : x
  2. Step 2: Convert to fraction form
    984.21/1,476.41 = 496.95/x
  3. Step 3: Cross multiply
    984.21x = 1,476.41 × 496.95
  4. Step 4: Simplify right side
    984.21x = 733,701.95
  5. Step 5: Solve for x
    x = 733,701.95/984.21
  6. Step 6: Final answer
    x = 745.47

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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.