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Finding the Fourth Proportional to 965.89, 1,333.54 and 634.88

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Solution

The fourth proportional to 965.89, 1,333.54 and 634.88 is: 876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.89 : 1,333.54 = 634.88 : x
  2. Step 2: Convert to fraction form
    965.89/1,333.54 = 634.88/x
  3. Step 3: Cross multiply
    965.89x = 1,333.54 × 634.88
  4. Step 4: Simplify right side
    965.89x = 846,630.84
  5. Step 5: Solve for x
    x = 846,630.84/965.89
  6. Step 6: Final answer
    x = 876.53

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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.