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Finding the Fourth Proportional to 836.33, 1,152.83 and 573.89

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Solution

The fourth proportional to 836.33, 1,152.83 and 573.89 is: 791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.33 : 1,152.83 = 573.89 : x
  2. Step 2: Convert to fraction form
    836.33/1,152.83 = 573.89/x
  3. Step 3: Cross multiply
    836.33x = 1,152.83 × 573.89
  4. Step 4: Simplify right side
    836.33x = 661,593.28
  5. Step 5: Solve for x
    x = 661,593.28/836.33
  6. Step 6: Final answer
    x = 791.07

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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.