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Finding the Fourth Proportional to 627.55, 941.63 and 546.75

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Solution

The fourth proportional to 627.55, 941.63 and 546.75 is: 820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.55 : 941.63 = 546.75 : x
  2. Step 2: Convert to fraction form
    627.55/941.63 = 546.75/x
  3. Step 3: Cross multiply
    627.55x = 941.63 × 546.75
  4. Step 4: Simplify right side
    627.55x = 514,833.47
  5. Step 5: Solve for x
    x = 514,833.47/627.55
  6. Step 6: Final answer
    x = 820.39

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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.