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Finding the Fourth Proportional to 680.02, 1,020.24 and 406.24

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Solution

The fourth proportional to 680.02, 1,020.24 and 406.24 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 1,020.24 = 406.24 : x
  2. Step 2: Convert to fraction form
    680.02/1,020.24 = 406.24/x
  3. Step 3: Cross multiply
    680.02x = 1,020.24 × 406.24
  4. Step 4: Simplify right side
    680.02x = 414,462.30
  5. Step 5: Solve for x
    x = 414,462.30/680.02
  6. Step 6: Final answer
    x = 609.49

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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.