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Finding the Fourth Proportional to 969.44, 1,454.56 and 482.83

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Solution

The fourth proportional to 969.44, 1,454.56 and 482.83 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,454.56 = 482.83 : x
  2. Step 2: Convert to fraction form
    969.44/1,454.56 = 482.83/x
  3. Step 3: Cross multiply
    969.44x = 1,454.56 × 482.83
  4. Step 4: Simplify right side
    969.44x = 702,300.36
  5. Step 5: Solve for x
    x = 702,300.36/969.44
  6. Step 6: Final answer
    x = 724.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.