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Finding the Fourth Proportional to 829.26, 1,237.11 and 770.34

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Solution

The fourth proportional to 829.26, 1,237.11 and 770.34 is: 1,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.26 : 1,237.11 = 770.34 : x
  2. Step 2: Convert to fraction form
    829.26/1,237.11 = 770.34/x
  3. Step 3: Cross multiply
    829.26x = 1,237.11 × 770.34
  4. Step 4: Simplify right side
    829.26x = 952,995.32
  5. Step 5: Solve for x
    x = 952,995.32/829.26
  6. Step 6: Final answer
    x = 1,149.21

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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.