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Finding the Fourth Proportional to 680.09, 1,020.24 and 406.04

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Solution

The fourth proportional to 680.09, 1,020.24 and 406.04 is: 609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.09 : 1,020.24 = 406.04 : x
  2. Step 2: Convert to fraction form
    680.09/1,020.24 = 406.04/x
  3. Step 3: Cross multiply
    680.09x = 1,020.24 × 406.04
  4. Step 4: Simplify right side
    680.09x = 414,253.15
  5. Step 5: Solve for x
    x = 414,253.15/680.09
  6. Step 6: Final answer
    x = 609.12

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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.