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Finding the Fourth Proportional to 675.75, 1,007.49 and 634.44

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Solution

The fourth proportional to 675.75, 1,007.49 and 634.44 is: 945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,007.49 = 634.44 : x
  2. Step 2: Convert to fraction form
    675.75/1,007.49 = 634.44/x
  3. Step 3: Cross multiply
    675.75x = 1,007.49 × 634.44
  4. Step 4: Simplify right side
    675.75x = 639,191.96
  5. Step 5: Solve for x
    x = 639,191.96/675.75
  6. Step 6: Final answer
    x = 945.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.