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Finding the Fourth Proportional to 853.64, 1,280.36 and 408.80

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Solution

The fourth proportional to 853.64, 1,280.36 and 408.80 is: 613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.64 : 1,280.36 = 408.80 : x
  2. Step 2: Convert to fraction form
    853.64/1,280.36 = 408.80/x
  3. Step 3: Cross multiply
    853.64x = 1,280.36 × 408.80
  4. Step 4: Simplify right side
    853.64x = 523,411.17
  5. Step 5: Solve for x
    x = 523,411.17/853.64
  6. Step 6: Final answer
    x = 613.15

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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.