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Finding the Fourth Proportional to 1,016.83, 1,404.26 and 849.39

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Solution

The fourth proportional to 1,016.83, 1,404.26 and 849.39 is: 1,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.83 : 1,404.26 = 849.39 : x
  2. Step 2: Convert to fraction form
    1,016.83/1,404.26 = 849.39/x
  3. Step 3: Cross multiply
    1,016.83x = 1,404.26 × 849.39
  4. Step 4: Simplify right side
    1,016.83x = 1,192,753.13
  5. Step 5: Solve for x
    x = 1,192,753.13/1,016.83
  6. Step 6: Final answer
    x = 1,173.01

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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.