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Finding the Fourth Proportional to 969.24, 1,336.86 and 838.02

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Solution

The fourth proportional to 969.24, 1,336.86 and 838.02 is: 1,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.24 : 1,336.86 = 838.02 : x
  2. Step 2: Convert to fraction form
    969.24/1,336.86 = 838.02/x
  3. Step 3: Cross multiply
    969.24x = 1,336.86 × 838.02
  4. Step 4: Simplify right side
    969.24x = 1,120,315.42
  5. Step 5: Solve for x
    x = 1,120,315.42/969.24
  6. Step 6: Final answer
    x = 1,155.87

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Why These Related Problems?

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