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Finding the Fourth Proportional to 969.45, 1,453.68 and 574.53

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Solution

The fourth proportional to 969.45, 1,453.68 and 574.53 is: 861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.45 : 1,453.68 = 574.53 : x
  2. Step 2: Convert to fraction form
    969.45/1,453.68 = 574.53/x
  3. Step 3: Cross multiply
    969.45x = 1,453.68 × 574.53
  4. Step 4: Simplify right side
    969.45x = 835,177.32
  5. Step 5: Solve for x
    x = 835,177.32/969.45
  6. Step 6: Final answer
    x = 861.50

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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.