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Finding the Fourth Proportional to 1,189, 1,636.92 and 1,033.68

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Solution

The fourth proportional to 1,189, 1,636.92 and 1,033.68 is: 1,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189 : 1,636.92 = 1,033.68 : x
  2. Step 2: Convert to fraction form
    1,189/1,636.92 = 1,033.68/x
  3. Step 3: Cross multiply
    1,189x = 1,636.92 × 1,033.68
  4. Step 4: Simplify right side
    1,189x = 1,692,051.47
  5. Step 5: Solve for x
    x = 1,692,051.47/1,189
  6. Step 6: Final answer
    x = 1,423.09

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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.