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Finding the Fourth Proportional to 969.02, 1,337.28 and 576.26

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Solution

The fourth proportional to 969.02, 1,337.28 and 576.26 is: 795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.02 : 1,337.28 = 576.26 : x
  2. Step 2: Convert to fraction form
    969.02/1,337.28 = 576.26/x
  3. Step 3: Cross multiply
    969.02x = 1,337.28 × 576.26
  4. Step 4: Simplify right side
    969.02x = 770,620.97
  5. Step 5: Solve for x
    x = 770,620.97/969.02
  6. Step 6: Final answer
    x = 795.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.