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Finding the Fourth Proportional to 818.20, 1,225.02 and 427.35

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Solution

The fourth proportional to 818.20, 1,225.02 and 427.35 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.20 : 1,225.02 = 427.35 : x
  2. Step 2: Convert to fraction form
    818.20/1,225.02 = 427.35/x
  3. Step 3: Cross multiply
    818.20x = 1,225.02 × 427.35
  4. Step 4: Simplify right side
    818.20x = 523,512.30
  5. Step 5: Solve for x
    x = 523,512.30/818.20
  6. Step 6: Final answer
    x = 639.83

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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.