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Finding the Fourth Proportional to 839.97, 1,160.14 and 559.75

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Solution

The fourth proportional to 839.97, 1,160.14 and 559.75 is: 773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,160.14 = 559.75 : x
  2. Step 2: Convert to fraction form
    839.97/1,160.14 = 559.75/x
  3. Step 3: Cross multiply
    839.97x = 1,160.14 × 559.75
  4. Step 4: Simplify right side
    839.97x = 649,388.37
  5. Step 5: Solve for x
    x = 649,388.37/839.97
  6. Step 6: Final answer
    x = 773.11

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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.