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Finding the Fourth Proportional to 627.57, 941.49 and 582.57

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Solution

The fourth proportional to 627.57, 941.49 and 582.57 is: 873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.57 : 941.49 = 582.57 : x
  2. Step 2: Convert to fraction form
    627.57/941.49 = 582.57/x
  3. Step 3: Cross multiply
    627.57x = 941.49 × 582.57
  4. Step 4: Simplify right side
    627.57x = 548,483.83
  5. Step 5: Solve for x
    x = 548,483.83/627.57
  6. Step 6: Final answer
    x = 873.98

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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.