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Finding the Fourth Proportional to 732.65, 1,008.73 and 682.97

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Solution

The fourth proportional to 732.65, 1,008.73 and 682.97 is: 940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.65 : 1,008.73 = 682.97 : x
  2. Step 2: Convert to fraction form
    732.65/1,008.73 = 682.97/x
  3. Step 3: Cross multiply
    732.65x = 1,008.73 × 682.97
  4. Step 4: Simplify right side
    732.65x = 688,932.33
  5. Step 5: Solve for x
    x = 688,932.33/732.65
  6. Step 6: Final answer
    x = 940.33

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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.