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Finding the Fourth Proportional to 680.40, 1,019.29 and 406.71

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Solution

The fourth proportional to 680.40, 1,019.29 and 406.71 is: 609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 1,019.29 = 406.71 : x
  2. Step 2: Convert to fraction form
    680.40/1,019.29 = 406.71/x
  3. Step 3: Cross multiply
    680.40x = 1,019.29 × 406.71
  4. Step 4: Simplify right side
    680.40x = 414,555.44
  5. Step 5: Solve for x
    x = 414,555.44/680.40
  6. Step 6: Final answer
    x = 609.28

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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.