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Finding the Fourth Proportional to 696.83, 961.49 and 448.09

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Solution

The fourth proportional to 696.83, 961.49 and 448.09 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.83 : 961.49 = 448.09 : x
  2. Step 2: Convert to fraction form
    696.83/961.49 = 448.09/x
  3. Step 3: Cross multiply
    696.83x = 961.49 × 448.09
  4. Step 4: Simplify right side
    696.83x = 430,832.77
  5. Step 5: Solve for x
    x = 430,832.77/696.83
  6. Step 6: Final answer
    x = 618.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.