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Finding the Fourth Proportional to 1,236.11, 1,854.17 and 505.17

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Solution

The fourth proportional to 1,236.11, 1,854.17 and 505.17 is: 757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.11 : 1,854.17 = 505.17 : x
  2. Step 2: Convert to fraction form
    1,236.11/1,854.17 = 505.17/x
  3. Step 3: Cross multiply
    1,236.11x = 1,854.17 × 505.17
  4. Step 4: Simplify right side
    1,236.11x = 936,668.53
  5. Step 5: Solve for x
    x = 936,668.53/1,236.11
  6. Step 6: Final answer
    x = 757.76

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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.