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Finding the Fourth Proportional to 680.97, 940.10 and 533.35

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Solution

The fourth proportional to 680.97, 940.10 and 533.35 is: 736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.97 : 940.10 = 533.35 : x
  2. Step 2: Convert to fraction form
    680.97/940.10 = 533.35/x
  3. Step 3: Cross multiply
    680.97x = 940.10 × 533.35
  4. Step 4: Simplify right side
    680.97x = 501,398.65
  5. Step 5: Solve for x
    x = 501,398.65/680.97
  6. Step 6: Final answer
    x = 736.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.