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Finding the Fourth Proportional to 842.31, 1,160.73 and 684.43

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Solution

The fourth proportional to 842.31, 1,160.73 and 684.43 is: 943.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.31 : 1,160.73 = 684.43 : x
  2. Step 2: Convert to fraction form
    842.31/1,160.73 = 684.43/x
  3. Step 3: Cross multiply
    842.31x = 1,160.73 × 684.43
  4. Step 4: Simplify right side
    842.31x = 794,442.06
  5. Step 5: Solve for x
    x = 794,442.06/842.31
  6. Step 6: Final answer
    x = 943.17

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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.