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Finding the Fourth Proportional to 1,236.20, 1,853.87 and 505.40

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Solution

The fourth proportional to 1,236.20, 1,853.87 and 505.40 is: 757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.20 : 1,853.87 = 505.40 : x
  2. Step 2: Convert to fraction form
    1,236.20/1,853.87 = 505.40/x
  3. Step 3: Cross multiply
    1,236.20x = 1,853.87 × 505.40
  4. Step 4: Simplify right side
    1,236.20x = 936,934.10
  5. Step 5: Solve for x
    x = 936,934.10/1,236.20
  6. Step 6: Final answer
    x = 757.92

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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.