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Finding the Fourth Proportional to 634.70, 874.70 and 577.80

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Solution

The fourth proportional to 634.70, 874.70 and 577.80 is: 796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.70 : 874.70 = 577.80 : x
  2. Step 2: Convert to fraction form
    634.70/874.70 = 577.80/x
  3. Step 3: Cross multiply
    634.70x = 874.70 × 577.80
  4. Step 4: Simplify right side
    634.70x = 505,400.94
  5. Step 5: Solve for x
    x = 505,400.94/634.70
  6. Step 6: Final answer
    x = 796.28

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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.