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Finding the Fourth Proportional to 1,236.47, 1,855.31 and 506.25

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Solution

The fourth proportional to 1,236.47, 1,855.31 and 506.25 is: 759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.47 : 1,855.31 = 506.25 : x
  2. Step 2: Convert to fraction form
    1,236.47/1,855.31 = 506.25/x
  3. Step 3: Cross multiply
    1,236.47x = 1,855.31 × 506.25
  4. Step 4: Simplify right side
    1,236.47x = 939,248.16
  5. Step 5: Solve for x
    x = 939,248.16/1,236.47
  6. Step 6: Final answer
    x = 759.62

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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.