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Finding the Fourth Proportional to 1,083.29, 1,494.93 and 611.18

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Solution

The fourth proportional to 1,083.29, 1,494.93 and 611.18 is: 843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.29 : 1,494.93 = 611.18 : x
  2. Step 2: Convert to fraction form
    1,083.29/1,494.93 = 611.18/x
  3. Step 3: Cross multiply
    1,083.29x = 1,494.93 × 611.18
  4. Step 4: Simplify right side
    1,083.29x = 913,667.44
  5. Step 5: Solve for x
    x = 913,667.44/1,083.29
  6. Step 6: Final answer
    x = 843.42

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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.