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Finding the Fourth Proportional to 843.94, 1,166.32 and 634.84

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Solution

The fourth proportional to 843.94, 1,166.32 and 634.84 is: 877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.94 : 1,166.32 = 634.84 : x
  2. Step 2: Convert to fraction form
    843.94/1,166.32 = 634.84/x
  3. Step 3: Cross multiply
    843.94x = 1,166.32 × 634.84
  4. Step 4: Simplify right side
    843.94x = 740,426.59
  5. Step 5: Solve for x
    x = 740,426.59/843.94
  6. Step 6: Final answer
    x = 877.35

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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.