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Finding the Fourth Proportional to 696.45, 1,044.82 and 209.46

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Solution

The fourth proportional to 696.45, 1,044.82 and 209.46 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.45 : 1,044.82 = 209.46 : x
  2. Step 2: Convert to fraction form
    696.45/1,044.82 = 209.46/x
  3. Step 3: Cross multiply
    696.45x = 1,044.82 × 209.46
  4. Step 4: Simplify right side
    696.45x = 218,849.83
  5. Step 5: Solve for x
    x = 218,849.83/696.45
  6. Step 6: Final answer
    x = 314.24

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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.