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Finding the Fourth Proportional to 541.98, 747.09 and 512.82

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Solution

The fourth proportional to 541.98, 747.09 and 512.82 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 747.09 = 512.82 : x
  2. Step 2: Convert to fraction form
    541.98/747.09 = 512.82/x
  3. Step 3: Cross multiply
    541.98x = 747.09 × 512.82
  4. Step 4: Simplify right side
    541.98x = 383,122.69
  5. Step 5: Solve for x
    x = 383,122.69/541.98
  6. Step 6: Final answer
    x = 706.89

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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.