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Finding the Fourth Proportional to 843.88, 1,160.63 and 677.83

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Solution

The fourth proportional to 843.88, 1,160.63 and 677.83 is: 932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.88 : 1,160.63 = 677.83 : x
  2. Step 2: Convert to fraction form
    843.88/1,160.63 = 677.83/x
  3. Step 3: Cross multiply
    843.88x = 1,160.63 × 677.83
  4. Step 4: Simplify right side
    843.88x = 786,709.83
  5. Step 5: Solve for x
    x = 786,709.83/843.88
  6. Step 6: Final answer
    x = 932.25

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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.