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Finding the Fourth Proportional to 680.84, 1,021.67 and 296.09

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Solution

The fourth proportional to 680.84, 1,021.67 and 296.09 is: 444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,021.67 = 296.09 : x
  2. Step 2: Convert to fraction form
    680.84/1,021.67 = 296.09/x
  3. Step 3: Cross multiply
    680.84x = 1,021.67 × 296.09
  4. Step 4: Simplify right side
    680.84x = 302,506.27
  5. Step 5: Solve for x
    x = 302,506.27/680.84
  6. Step 6: Final answer
    x = 444.31

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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.