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Finding the Fourth Proportional to 701.23, 967.73 and 406.59

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Solution

The fourth proportional to 701.23, 967.73 and 406.59 is: 561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.23 : 967.73 = 406.59 : x
  2. Step 2: Convert to fraction form
    701.23/967.73 = 406.59/x
  3. Step 3: Cross multiply
    701.23x = 967.73 × 406.59
  4. Step 4: Simplify right side
    701.23x = 393,469.34
  5. Step 5: Solve for x
    x = 393,469.34/701.23
  6. Step 6: Final answer
    x = 561.11

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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.