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Finding the Fourth Proportional to 680.65, 1,020.27 and 406.87

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Solution

The fourth proportional to 680.65, 1,020.27 and 406.87 is: 609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.65 : 1,020.27 = 406.87 : x
  2. Step 2: Convert to fraction form
    680.65/1,020.27 = 406.87/x
  3. Step 3: Cross multiply
    680.65x = 1,020.27 × 406.87
  4. Step 4: Simplify right side
    680.65x = 415,117.25
  5. Step 5: Solve for x
    x = 415,117.25/680.65
  6. Step 6: Final answer
    x = 609.88

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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.