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Finding the Fourth Proportional to 696, 1,043.79 and 208.90

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Solution

The fourth proportional to 696, 1,043.79 and 208.90 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 1,043.79 = 208.90 : x
  2. Step 2: Convert to fraction form
    696/1,043.79 = 208.90/x
  3. Step 3: Cross multiply
    696x = 1,043.79 × 208.90
  4. Step 4: Simplify right side
    696x = 218,047.73
  5. Step 5: Solve for x
    x = 218,047.73/696
  6. Step 6: Final answer
    x = 313.29

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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.