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Finding the Fourth Proportional to 680.10, 1,020.09 and 314.89

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Solution

The fourth proportional to 680.10, 1,020.09 and 314.89 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 1,020.09 = 314.89 : x
  2. Step 2: Convert to fraction form
    680.10/1,020.09 = 314.89/x
  3. Step 3: Cross multiply
    680.10x = 1,020.09 × 314.89
  4. Step 4: Simplify right side
    680.10x = 321,218.69
  5. Step 5: Solve for x
    x = 321,218.69/680.10
  6. Step 6: Final answer
    x = 472.31

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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.