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Finding the Fourth Proportional to 969.44, 1,338.92 and 751.04

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Solution

The fourth proportional to 969.44, 1,338.92 and 751.04 is: 1,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,338.92 = 751.04 : x
  2. Step 2: Convert to fraction form
    969.44/1,338.92 = 751.04/x
  3. Step 3: Cross multiply
    969.44x = 1,338.92 × 751.04
  4. Step 4: Simplify right side
    969.44x = 1,005,574.84
  5. Step 5: Solve for x
    x = 1,005,574.84/969.44
  6. Step 6: Final answer
    x = 1,037.27

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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.