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Finding the Fourth Proportional to 676.42, 1,013.25 and 415.60

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Solution

The fourth proportional to 676.42, 1,013.25 and 415.60 is: 622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.42 : 1,013.25 = 415.60 : x
  2. Step 2: Convert to fraction form
    676.42/1,013.25 = 415.60/x
  3. Step 3: Cross multiply
    676.42x = 1,013.25 × 415.60
  4. Step 4: Simplify right side
    676.42x = 421,106.70
  5. Step 5: Solve for x
    x = 421,106.70/676.42
  6. Step 6: Final answer
    x = 622.55

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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.