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Finding the Fourth Proportional to 701.63, 968.37 and 407.09

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Solution

The fourth proportional to 701.63, 968.37 and 407.09 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.63 : 968.37 = 407.09 : x
  2. Step 2: Convert to fraction form
    701.63/968.37 = 407.09/x
  3. Step 3: Cross multiply
    701.63x = 968.37 × 407.09
  4. Step 4: Simplify right side
    701.63x = 394,213.74
  5. Step 5: Solve for x
    x = 394,213.74/701.63
  6. Step 6: Final answer
    x = 561.85

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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.