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Finding the Fourth Proportional to 680.24, 1,021.73 and 406.87

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Solution

The fourth proportional to 680.24, 1,021.73 and 406.87 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 1,021.73 = 406.87 : x
  2. Step 2: Convert to fraction form
    680.24/1,021.73 = 406.87/x
  3. Step 3: Cross multiply
    680.24x = 1,021.73 × 406.87
  4. Step 4: Simplify right side
    680.24x = 415,711.29
  5. Step 5: Solve for x
    x = 415,711.29/680.24
  6. Step 6: Final answer
    x = 611.12

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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.