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Finding the Fourth Proportional to 969.04, 1,453.14 and 310.75

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Solution

The fourth proportional to 969.04, 1,453.14 and 310.75 is: 465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.04 : 1,453.14 = 310.75 : x
  2. Step 2: Convert to fraction form
    969.04/1,453.14 = 310.75/x
  3. Step 3: Cross multiply
    969.04x = 1,453.14 × 310.75
  4. Step 4: Simplify right side
    969.04x = 451,555.99
  5. Step 5: Solve for x
    x = 451,555.99/969.04
  6. Step 6: Final answer
    x = 465.99

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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.