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Finding the Fourth Proportional to 552.35, 827.88 and 546.26

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Solution

The fourth proportional to 552.35, 827.88 and 546.26 is: 818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.35 : 827.88 = 546.26 : x
  2. Step 2: Convert to fraction form
    552.35/827.88 = 546.26/x
  3. Step 3: Cross multiply
    552.35x = 827.88 × 546.26
  4. Step 4: Simplify right side
    552.35x = 452,237.73
  5. Step 5: Solve for x
    x = 452,237.73/552.35
  6. Step 6: Final answer
    x = 818.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.