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Finding the Fourth Proportional to 969.33, 1,336.85 and 654.51

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Solution

The fourth proportional to 969.33, 1,336.85 and 654.51 is: 902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.33 : 1,336.85 = 654.51 : x
  2. Step 2: Convert to fraction form
    969.33/1,336.85 = 654.51/x
  3. Step 3: Cross multiply
    969.33x = 1,336.85 × 654.51
  4. Step 4: Simplify right side
    969.33x = 874,989.57
  5. Step 5: Solve for x
    x = 874,989.57/969.33
  6. Step 6: Final answer
    x = 902.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.