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Finding the Fourth Proportional to 836.22, 1,153.48 and 541.66

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Solution

The fourth proportional to 836.22, 1,153.48 and 541.66 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.22 : 1,153.48 = 541.66 : x
  2. Step 2: Convert to fraction form
    836.22/1,153.48 = 541.66/x
  3. Step 3: Cross multiply
    836.22x = 1,153.48 × 541.66
  4. Step 4: Simplify right side
    836.22x = 624,791.27
  5. Step 5: Solve for x
    x = 624,791.27/836.22
  6. Step 6: Final answer
    x = 747.16

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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.