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Finding the Fourth Proportional to 836.59, 1,153.42 and 574.15

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Solution

The fourth proportional to 836.59, 1,153.42 and 574.15 is: 791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.59 : 1,153.42 = 574.15 : x
  2. Step 2: Convert to fraction form
    836.59/1,153.42 = 574.15/x
  3. Step 3: Cross multiply
    836.59x = 1,153.42 × 574.15
  4. Step 4: Simplify right side
    836.59x = 662,236.09
  5. Step 5: Solve for x
    x = 662,236.09/836.59
  6. Step 6: Final answer
    x = 791.59

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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.