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Finding the Fourth Proportional to 680.32, 1,019.76 and 406.56

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Solution

The fourth proportional to 680.32, 1,019.76 and 406.56 is: 609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.32 : 1,019.76 = 406.56 : x
  2. Step 2: Convert to fraction form
    680.32/1,019.76 = 406.56/x
  3. Step 3: Cross multiply
    680.32x = 1,019.76 × 406.56
  4. Step 4: Simplify right side
    680.32x = 414,593.63
  5. Step 5: Solve for x
    x = 414,593.63/680.32
  6. Step 6: Final answer
    x = 609.41

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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.