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Finding the Fourth Proportional to 1,236.30, 1,855.17 and 506.40

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Solution

The fourth proportional to 1,236.30, 1,855.17 and 506.40 is: 759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.30 : 1,855.17 = 506.40 : x
  2. Step 2: Convert to fraction form
    1,236.30/1,855.17 = 506.40/x
  3. Step 3: Cross multiply
    1,236.30x = 1,855.17 × 506.40
  4. Step 4: Simplify right side
    1,236.30x = 939,458.09
  5. Step 5: Solve for x
    x = 939,458.09/1,236.30
  6. Step 6: Final answer
    x = 759.89

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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.