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Finding the Fourth Proportional to 1,328.14, 1,992.12 and 506.17

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Solution

The fourth proportional to 1,328.14, 1,992.12 and 506.17 is: 759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.14 : 1,992.12 = 506.17 : x
  2. Step 2: Convert to fraction form
    1,328.14/1,992.12 = 506.17/x
  3. Step 3: Cross multiply
    1,328.14x = 1,992.12 × 506.17
  4. Step 4: Simplify right side
    1,328.14x = 1,008,351.38
  5. Step 5: Solve for x
    x = 1,008,351.38/1,328.14
  6. Step 6: Final answer
    x = 759.22

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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.