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Finding the Fourth Proportional to 969.72, 1,446.39 and 823.80

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Solution

The fourth proportional to 969.72, 1,446.39 and 823.80 is: 1,228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,446.39 = 823.80 : x
  2. Step 2: Convert to fraction form
    969.72/1,446.39 = 823.80/x
  3. Step 3: Cross multiply
    969.72x = 1,446.39 × 823.80
  4. Step 4: Simplify right side
    969.72x = 1,191,536.08
  5. Step 5: Solve for x
    x = 1,191,536.08/969.72
  6. Step 6: Final answer
    x = 1,228.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.