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Finding the Fourth Proportional to 839.89, 1,159.34 and 673.81

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Solution

The fourth proportional to 839.89, 1,159.34 and 673.81 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.89 : 1,159.34 = 673.81 : x
  2. Step 2: Convert to fraction form
    839.89/1,159.34 = 673.81/x
  3. Step 3: Cross multiply
    839.89x = 1,159.34 × 673.81
  4. Step 4: Simplify right side
    839.89x = 781,174.89
  5. Step 5: Solve for x
    x = 781,174.89/839.89
  6. Step 6: Final answer
    x = 930.09

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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.