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Finding the Fourth Proportional to 1,112.23, 1,534.55 and 833.39

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Solution

The fourth proportional to 1,112.23, 1,534.55 and 833.39 is: 1,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.23 : 1,534.55 = 833.39 : x
  2. Step 2: Convert to fraction form
    1,112.23/1,534.55 = 833.39/x
  3. Step 3: Cross multiply
    1,112.23x = 1,534.55 × 833.39
  4. Step 4: Simplify right side
    1,112.23x = 1,278,872.54
  5. Step 5: Solve for x
    x = 1,278,872.54/1,112.23
  6. Step 6: Final answer
    x = 1,149.83

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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.