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Finding the Fourth Proportional to 561.27, 836.04 and 541.20

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Solution

The fourth proportional to 561.27, 836.04 and 541.20 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 836.04 = 541.20 : x
  2. Step 2: Convert to fraction form
    561.27/836.04 = 541.20/x
  3. Step 3: Cross multiply
    561.27x = 836.04 × 541.20
  4. Step 4: Simplify right side
    561.27x = 452,464.85
  5. Step 5: Solve for x
    x = 452,464.85/561.27
  6. Step 6: Final answer
    x = 806.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.