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Finding the Fourth Proportional to 680.94, 940.23 and 533.34

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Solution

The fourth proportional to 680.94, 940.23 and 533.34 is: 736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 940.23 = 533.34 : x
  2. Step 2: Convert to fraction form
    680.94/940.23 = 533.34/x
  3. Step 3: Cross multiply
    680.94x = 940.23 × 533.34
  4. Step 4: Simplify right side
    680.94x = 501,462.27
  5. Step 5: Solve for x
    x = 501,462.27/680.94
  6. Step 6: Final answer
    x = 736.43

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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.