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Finding the Fourth Proportional to 969.27, 1,452.54 and 824.42

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Solution

The fourth proportional to 969.27, 1,452.54 and 824.42 is: 1,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.27 : 1,452.54 = 824.42 : x
  2. Step 2: Convert to fraction form
    969.27/1,452.54 = 824.42/x
  3. Step 3: Cross multiply
    969.27x = 1,452.54 × 824.42
  4. Step 4: Simplify right side
    969.27x = 1,197,495.76
  5. Step 5: Solve for x
    x = 1,197,495.76/969.27
  6. Step 6: Final answer
    x = 1,235.46

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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.