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Finding the Fourth Proportional to 969.69, 1,452.41 and 893.82

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Solution

The fourth proportional to 969.69, 1,452.41 and 893.82 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.69 : 1,452.41 = 893.82 : x
  2. Step 2: Convert to fraction form
    969.69/1,452.41 = 893.82/x
  3. Step 3: Cross multiply
    969.69x = 1,452.41 × 893.82
  4. Step 4: Simplify right side
    969.69x = 1,298,193.11
  5. Step 5: Solve for x
    x = 1,298,193.11/969.69
  6. Step 6: Final answer
    x = 1,338.77

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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.