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Finding the Fourth Proportional to 969.80, 1,458 and 965

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Solution

The fourth proportional to 969.80, 1,458 and 965 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.80 : 1,458 = 965 : x
  2. Step 2: Convert to fraction form
    969.80/1,458 = 965/x
  3. Step 3: Cross multiply
    969.80x = 1,458 × 965
  4. Step 4: Simplify right side
    969.80x = 1,406,970
  5. Step 5: Solve for x
    x = 1,406,970/969.80
  6. Step 6: Final answer
    x = 1,450.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.