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Finding the Fourth Proportional to 1,092.29, 1,506.87 and 843.14

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Solution

The fourth proportional to 1,092.29, 1,506.87 and 843.14 is: 1,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.29 : 1,506.87 = 843.14 : x
  2. Step 2: Convert to fraction form
    1,092.29/1,506.87 = 843.14/x
  3. Step 3: Cross multiply
    1,092.29x = 1,506.87 × 843.14
  4. Step 4: Simplify right side
    1,092.29x = 1,270,506.14
  5. Step 5: Solve for x
    x = 1,270,506.14/1,092.29
  6. Step 6: Final answer
    x = 1,163.16

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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.