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Finding the Fourth Proportional to 984.16, 1,476.23 and 464.41

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Solution

The fourth proportional to 984.16, 1,476.23 and 464.41 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.16 : 1,476.23 = 464.41 : x
  2. Step 2: Convert to fraction form
    984.16/1,476.23 = 464.41/x
  3. Step 3: Cross multiply
    984.16x = 1,476.23 × 464.41
  4. Step 4: Simplify right side
    984.16x = 685,571.35
  5. Step 5: Solve for x
    x = 685,571.35/984.16
  6. Step 6: Final answer
    x = 696.60

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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.