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Finding the Fourth Proportional to 865.84, 1,194.32 and 629.50

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Solution

The fourth proportional to 865.84, 1,194.32 and 629.50 is: 868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,194.32 = 629.50 : x
  2. Step 2: Convert to fraction form
    865.84/1,194.32 = 629.50/x
  3. Step 3: Cross multiply
    865.84x = 1,194.32 × 629.50
  4. Step 4: Simplify right side
    865.84x = 751,820.14
  5. Step 5: Solve for x
    x = 751,820.14/865.84
  6. Step 6: Final answer
    x = 868.31

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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.