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Finding the Fourth Proportional to 694.82, 957.83 and 446.09

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Solution

The fourth proportional to 694.82, 957.83 and 446.09 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.82 : 957.83 = 446.09 : x
  2. Step 2: Convert to fraction form
    694.82/957.83 = 446.09/x
  3. Step 3: Cross multiply
    694.82x = 957.83 × 446.09
  4. Step 4: Simplify right side
    694.82x = 427,271.37
  5. Step 5: Solve for x
    x = 427,271.37/694.82
  6. Step 6: Final answer
    x = 614.94

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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.