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Finding the Fourth Proportional to 969.25, 1,453.87 and 537.32

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Solution

The fourth proportional to 969.25, 1,453.87 and 537.32 is: 805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.25 : 1,453.87 = 537.32 : x
  2. Step 2: Convert to fraction form
    969.25/1,453.87 = 537.32/x
  3. Step 3: Cross multiply
    969.25x = 1,453.87 × 537.32
  4. Step 4: Simplify right side
    969.25x = 781,193.43
  5. Step 5: Solve for x
    x = 781,193.43/969.25
  6. Step 6: Final answer
    x = 805.98

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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.