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Finding the Fourth Proportional to 843.38, 1,164.02 and 494.06

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Solution

The fourth proportional to 843.38, 1,164.02 and 494.06 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.38 : 1,164.02 = 494.06 : x
  2. Step 2: Convert to fraction form
    843.38/1,164.02 = 494.06/x
  3. Step 3: Cross multiply
    843.38x = 1,164.02 × 494.06
  4. Step 4: Simplify right side
    843.38x = 575,096.16
  5. Step 5: Solve for x
    x = 575,096.16/843.38
  6. Step 6: Final answer
    x = 681.90

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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.