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Finding the Fourth Proportional to 680.65, 939.83 and 523.03

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Solution

The fourth proportional to 680.65, 939.83 and 523.03 is: 722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.65 : 939.83 = 523.03 : x
  2. Step 2: Convert to fraction form
    680.65/939.83 = 523.03/x
  3. Step 3: Cross multiply
    680.65x = 939.83 × 523.03
  4. Step 4: Simplify right side
    680.65x = 491,559.02
  5. Step 5: Solve for x
    x = 491,559.02/680.65
  6. Step 6: Final answer
    x = 722.19

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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.