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Finding the Fourth Proportional to 969.44, 1,454.16 and 824.86

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Solution

The fourth proportional to 969.44, 1,454.16 and 824.86 is: 1,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.44 : 1,454.16 = 824.86 : x
  2. Step 2: Convert to fraction form
    969.44/1,454.16 = 824.86/x
  3. Step 3: Cross multiply
    969.44x = 1,454.16 × 824.86
  4. Step 4: Simplify right side
    969.44x = 1,199,471.15
  5. Step 5: Solve for x
    x = 1,199,471.15/969.44
  6. Step 6: Final answer
    x = 1,237.28

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Why These Related Problems?

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