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Finding the Fourth Proportional to 1,086.20, 1,629.52 and 624.20

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Solution

The fourth proportional to 1,086.20, 1,629.52 and 624.20 is: 936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.20 : 1,629.52 = 624.20 : x
  2. Step 2: Convert to fraction form
    1,086.20/1,629.52 = 624.20/x
  3. Step 3: Cross multiply
    1,086.20x = 1,629.52 × 624.20
  4. Step 4: Simplify right side
    1,086.20x = 1,017,146.38
  5. Step 5: Solve for x
    x = 1,017,146.38/1,086.20
  6. Step 6: Final answer
    x = 936.43

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