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Finding the Fourth Proportional to 969.87, 1,455.05 and 276.55

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Solution

The fourth proportional to 969.87, 1,455.05 and 276.55 is: 414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.87 : 1,455.05 = 276.55 : x
  2. Step 2: Convert to fraction form
    969.87/1,455.05 = 276.55/x
  3. Step 3: Cross multiply
    969.87x = 1,455.05 × 276.55
  4. Step 4: Simplify right side
    969.87x = 402,396.88
  5. Step 5: Solve for x
    x = 402,396.88/969.87
  6. Step 6: Final answer
    x = 414.90

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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.