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Finding the Fourth Proportional to 546.12, 815.72 and 514.53

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Solution

The fourth proportional to 546.12, 815.72 and 514.53 is: 768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.12 : 815.72 = 514.53 : x
  2. Step 2: Convert to fraction form
    546.12/815.72 = 514.53/x
  3. Step 3: Cross multiply
    546.12x = 815.72 × 514.53
  4. Step 4: Simplify right side
    546.12x = 419,712.41
  5. Step 5: Solve for x
    x = 419,712.41/546.12
  6. Step 6: Final answer
    x = 768.54

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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.