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Finding the Fourth Proportional to 701.54, 968.11 and 406.80

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Solution

The fourth proportional to 701.54, 968.11 and 406.80 is: 561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 968.11 = 406.80 : x
  2. Step 2: Convert to fraction form
    701.54/968.11 = 406.80/x
  3. Step 3: Cross multiply
    701.54x = 968.11 × 406.80
  4. Step 4: Simplify right side
    701.54x = 393,827.15
  5. Step 5: Solve for x
    x = 393,827.15/701.54
  6. Step 6: Final answer
    x = 561.38

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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.