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Finding the Fourth Proportional to 627.13, 936.10 and 582.09

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Solution

The fourth proportional to 627.13, 936.10 and 582.09 is: 868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.13 : 936.10 = 582.09 : x
  2. Step 2: Convert to fraction form
    627.13/936.10 = 582.09/x
  3. Step 3: Cross multiply
    627.13x = 936.10 × 582.09
  4. Step 4: Simplify right side
    627.13x = 544,894.45
  5. Step 5: Solve for x
    x = 544,894.45/627.13
  6. Step 6: Final answer
    x = 868.87

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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.