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Finding the Fourth Proportional to 547.82, 754.06 and 541.74

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Solution

The fourth proportional to 547.82, 754.06 and 541.74 is: 745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 754.06 = 541.74 : x
  2. Step 2: Convert to fraction form
    547.82/754.06 = 541.74/x
  3. Step 3: Cross multiply
    547.82x = 754.06 × 541.74
  4. Step 4: Simplify right side
    547.82x = 408,504.46
  5. Step 5: Solve for x
    x = 408,504.46/547.82
  6. Step 6: Final answer
    x = 745.69

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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.