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Finding the Fourth Proportional to 984.42, 1,476.60 and 406.86

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Solution

The fourth proportional to 984.42, 1,476.60 and 406.86 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.42 : 1,476.60 = 406.86 : x
  2. Step 2: Convert to fraction form
    984.42/1,476.60 = 406.86/x
  3. Step 3: Cross multiply
    984.42x = 1,476.60 × 406.86
  4. Step 4: Simplify right side
    984.42x = 600,769.48
  5. Step 5: Solve for x
    x = 600,769.48/984.42
  6. Step 6: Final answer
    x = 610.28

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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.