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Finding the Fourth Proportional to 696.23, 1,044.33 and 465.56

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Solution

The fourth proportional to 696.23, 1,044.33 and 465.56 is: 698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.23 : 1,044.33 = 465.56 : x
  2. Step 2: Convert to fraction form
    696.23/1,044.33 = 465.56/x
  3. Step 3: Cross multiply
    696.23x = 1,044.33 × 465.56
  4. Step 4: Simplify right side
    696.23x = 486,198.27
  5. Step 5: Solve for x
    x = 486,198.27/696.23
  6. Step 6: Final answer
    x = 698.33

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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.