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Finding the Fourth Proportional to 969.63, 1,453.14 and 737.82

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Solution

The fourth proportional to 969.63, 1,453.14 and 737.82 is: 1,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.63 : 1,453.14 = 737.82 : x
  2. Step 2: Convert to fraction form
    969.63/1,453.14 = 737.82/x
  3. Step 3: Cross multiply
    969.63x = 1,453.14 × 737.82
  4. Step 4: Simplify right side
    969.63x = 1,072,155.75
  5. Step 5: Solve for x
    x = 1,072,155.75/969.63
  6. Step 6: Final answer
    x = 1,105.74

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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.