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Finding the Fourth Proportional to 968.61, 1,441.26 and 965.37

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Solution

The fourth proportional to 968.61, 1,441.26 and 965.37 is: 1,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.61 : 1,441.26 = 965.37 : x
  2. Step 2: Convert to fraction form
    968.61/1,441.26 = 965.37/x
  3. Step 3: Cross multiply
    968.61x = 1,441.26 × 965.37
  4. Step 4: Simplify right side
    968.61x = 1,391,349.17
  5. Step 5: Solve for x
    x = 1,391,349.17/968.61
  6. Step 6: Final answer
    x = 1,436.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.