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Finding the Fourth Proportional to 965.57, 1,333.05 and 634.57

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Solution

The fourth proportional to 965.57, 1,333.05 and 634.57 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.57 : 1,333.05 = 634.57 : x
  2. Step 2: Convert to fraction form
    965.57/1,333.05 = 634.57/x
  3. Step 3: Cross multiply
    965.57x = 1,333.05 × 634.57
  4. Step 4: Simplify right side
    965.57x = 845,913.54
  5. Step 5: Solve for x
    x = 845,913.54/965.57
  6. Step 6: Final answer
    x = 876.08

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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.