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Finding the Fourth Proportional to 701.89, 968.53 and 422.07

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Solution

The fourth proportional to 701.89, 968.53 and 422.07 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 968.53 = 422.07 : x
  2. Step 2: Convert to fraction form
    701.89/968.53 = 422.07/x
  3. Step 3: Cross multiply
    701.89x = 968.53 × 422.07
  4. Step 4: Simplify right side
    701.89x = 408,787.46
  5. Step 5: Solve for x
    x = 408,787.46/701.89
  6. Step 6: Final answer
    x = 582.41

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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.