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Finding the Fourth Proportional to 1,236.17, 1,853.03 and 506.27

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Solution

The fourth proportional to 1,236.17, 1,853.03 and 506.27 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.17 : 1,853.03 = 506.27 : x
  2. Step 2: Convert to fraction form
    1,236.17/1,853.03 = 506.27/x
  3. Step 3: Cross multiply
    1,236.17x = 1,853.03 × 506.27
  4. Step 4: Simplify right side
    1,236.17x = 938,139.40
  5. Step 5: Solve for x
    x = 938,139.40/1,236.17
  6. Step 6: Final answer
    x = 758.91

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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.