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Finding the Fourth Proportional to 714.20, 1,072.26 and 406.62

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Solution

The fourth proportional to 714.20, 1,072.26 and 406.62 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.20 : 1,072.26 = 406.62 : x
  2. Step 2: Convert to fraction form
    714.20/1,072.26 = 406.62/x
  3. Step 3: Cross multiply
    714.20x = 1,072.26 × 406.62
  4. Step 4: Simplify right side
    714.20x = 436,002.36
  5. Step 5: Solve for x
    x = 436,002.36/714.20
  6. Step 6: Final answer
    x = 610.48

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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.