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Finding the Fourth Proportional to 866.85, 1,195.96 and 493.57

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Solution

The fourth proportional to 866.85, 1,195.96 and 493.57 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.85 : 1,195.96 = 493.57 : x
  2. Step 2: Convert to fraction form
    866.85/1,195.96 = 493.57/x
  3. Step 3: Cross multiply
    866.85x = 1,195.96 × 493.57
  4. Step 4: Simplify right side
    866.85x = 590,288.99
  5. Step 5: Solve for x
    x = 590,288.99/866.85
  6. Step 6: Final answer
    x = 680.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.