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Finding the Fourth Proportional to 696.96, 1,046.16 and 408.96

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Solution

The fourth proportional to 696.96, 1,046.16 and 408.96 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 1,046.16 = 408.96 : x
  2. Step 2: Convert to fraction form
    696.96/1,046.16 = 408.96/x
  3. Step 3: Cross multiply
    696.96x = 1,046.16 × 408.96
  4. Step 4: Simplify right side
    696.96x = 427,837.59
  5. Step 5: Solve for x
    x = 427,837.59/696.96
  6. Step 6: Final answer
    x = 613.86

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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.