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Finding the Fourth Proportional to 685.91, 1,029.76 and 320.94

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Solution

The fourth proportional to 685.91, 1,029.76 and 320.94 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.91 : 1,029.76 = 320.94 : x
  2. Step 2: Convert to fraction form
    685.91/1,029.76 = 320.94/x
  3. Step 3: Cross multiply
    685.91x = 1,029.76 × 320.94
  4. Step 4: Simplify right side
    685.91x = 330,490.37
  5. Step 5: Solve for x
    x = 330,490.37/685.91
  6. Step 6: Final answer
    x = 481.83

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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.