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Finding the Fourth Proportional to 697.12, 1,044.08 and 408.80

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Solution

The fourth proportional to 697.12, 1,044.08 and 408.80 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 1,044.08 = 408.80 : x
  2. Step 2: Convert to fraction form
    697.12/1,044.08 = 408.80/x
  3. Step 3: Cross multiply
    697.12x = 1,044.08 × 408.80
  4. Step 4: Simplify right side
    697.12x = 426,819.90
  5. Step 5: Solve for x
    x = 426,819.90/697.12
  6. Step 6: Final answer
    x = 612.26

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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.