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Finding the Fourth Proportional to 701.31, 1,055.09 and 427.62

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Solution

The fourth proportional to 701.31, 1,055.09 and 427.62 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.31 : 1,055.09 = 427.62 : x
  2. Step 2: Convert to fraction form
    701.31/1,055.09 = 427.62/x
  3. Step 3: Cross multiply
    701.31x = 1,055.09 × 427.62
  4. Step 4: Simplify right side
    701.31x = 451,177.59
  5. Step 5: Solve for x
    x = 451,177.59/701.31
  6. Step 6: Final answer
    x = 643.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.