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Finding the Fourth Proportional to 680.67, 1,020.94 and 218.77

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Solution

The fourth proportional to 680.67, 1,020.94 and 218.77 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 1,020.94 = 218.77 : x
  2. Step 2: Convert to fraction form
    680.67/1,020.94 = 218.77/x
  3. Step 3: Cross multiply
    680.67x = 1,020.94 × 218.77
  4. Step 4: Simplify right side
    680.67x = 223,347.94
  5. Step 5: Solve for x
    x = 223,347.94/680.67
  6. Step 6: Final answer
    x = 328.13

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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.