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Finding the Fourth Proportional to 680.61, 1,018.72 and 367.84

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Solution

The fourth proportional to 680.61, 1,018.72 and 367.84 is: 550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.61 : 1,018.72 = 367.84 : x
  2. Step 2: Convert to fraction form
    680.61/1,018.72 = 367.84/x
  3. Step 3: Cross multiply
    680.61x = 1,018.72 × 367.84
  4. Step 4: Simplify right side
    680.61x = 374,725.96
  5. Step 5: Solve for x
    x = 374,725.96/680.61
  6. Step 6: Final answer
    x = 550.57

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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.