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Finding the Fourth Proportional to 680.31, 940.55 and 532.89

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Solution

The fourth proportional to 680.31, 940.55 and 532.89 is: 736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.31 : 940.55 = 532.89 : x
  2. Step 2: Convert to fraction form
    680.31/940.55 = 532.89/x
  3. Step 3: Cross multiply
    680.31x = 940.55 × 532.89
  4. Step 4: Simplify right side
    680.31x = 501,207.03
  5. Step 5: Solve for x
    x = 501,207.03/680.31
  6. Step 6: Final answer
    x = 736.73

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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.