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Finding the Fourth Proportional to 1,083.07, 1,494.80 and 611.01

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Solution

The fourth proportional to 1,083.07, 1,494.80 and 611.01 is: 843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.07 : 1,494.80 = 611.01 : x
  2. Step 2: Convert to fraction form
    1,083.07/1,494.80 = 611.01/x
  3. Step 3: Cross multiply
    1,083.07x = 1,494.80 × 611.01
  4. Step 4: Simplify right side
    1,083.07x = 913,337.75
  5. Step 5: Solve for x
    x = 913,337.75/1,083.07
  6. Step 6: Final answer
    x = 843.29

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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.