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Finding the Fourth Proportional to 696.47, 1,044.56 and 209.42

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Solution

The fourth proportional to 696.47, 1,044.56 and 209.42 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.47 : 1,044.56 = 209.42 : x
  2. Step 2: Convert to fraction form
    696.47/1,044.56 = 209.42/x
  3. Step 3: Cross multiply
    696.47x = 1,044.56 × 209.42
  4. Step 4: Simplify right side
    696.47x = 218,745.49
  5. Step 5: Solve for x
    x = 218,745.49/696.47
  6. Step 6: Final answer
    x = 314.08

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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.