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Finding the Fourth Proportional to 680.94, 938.52 and 654.48

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Solution

The fourth proportional to 680.94, 938.52 and 654.48 is: 902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.94 : 938.52 = 654.48 : x
  2. Step 2: Convert to fraction form
    680.94/938.52 = 654.48/x
  3. Step 3: Cross multiply
    680.94x = 938.52 × 654.48
  4. Step 4: Simplify right side
    680.94x = 614,242.57
  5. Step 5: Solve for x
    x = 614,242.57/680.94
  6. Step 6: Final answer
    x = 902.05

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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.