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Finding the Fourth Proportional to 634.45, 874.88 and 584.23

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Solution

The fourth proportional to 634.45, 874.88 and 584.23 is: 805.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.45 : 874.88 = 584.23 : x
  2. Step 2: Convert to fraction form
    634.45/874.88 = 584.23/x
  3. Step 3: Cross multiply
    634.45x = 874.88 × 584.23
  4. Step 4: Simplify right side
    634.45x = 511,131.14
  5. Step 5: Solve for x
    x = 511,131.14/634.45
  6. Step 6: Final answer
    x = 805.63

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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.