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Finding the Fourth Proportional to 969.44, 1,455.20 and 536.96

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Solution

The fourth proportional to 969.44, 1,455.20 and 536.96 is: 806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,455.20 = 536.96 : x
  2. Step 2: Convert to fraction form
    969.44/1,455.20 = 536.96/x
  3. Step 3: Cross multiply
    969.44x = 1,455.20 × 536.96
  4. Step 4: Simplify right side
    969.44x = 781,384.19
  5. Step 5: Solve for x
    x = 781,384.19/969.44
  6. Step 6: Final answer
    x = 806.02

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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.