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Finding the Fourth Proportional to 543.06, 749.11 and 506.61

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Solution

The fourth proportional to 543.06, 749.11 and 506.61 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.06 : 749.11 = 506.61 : x
  2. Step 2: Convert to fraction form
    543.06/749.11 = 506.61/x
  3. Step 3: Cross multiply
    543.06x = 749.11 × 506.61
  4. Step 4: Simplify right side
    543.06x = 379,506.62
  5. Step 5: Solve for x
    x = 379,506.62/543.06
  6. Step 6: Final answer
    x = 698.83

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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.