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Finding the Fourth Proportional to 682.37, 940.53 and 656.85

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Solution

The fourth proportional to 682.37, 940.53 and 656.85 is: 905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.37 : 940.53 = 656.85 : x
  2. Step 2: Convert to fraction form
    682.37/940.53 = 656.85/x
  3. Step 3: Cross multiply
    682.37x = 940.53 × 656.85
  4. Step 4: Simplify right side
    682.37x = 617,787.13
  5. Step 5: Solve for x
    x = 617,787.13/682.37
  6. Step 6: Final answer
    x = 905.36

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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.