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Finding the Fourth Proportional to 1,236.53, 1,854.81 and 370.85

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Solution

The fourth proportional to 1,236.53, 1,854.81 and 370.85 is: 556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.53 : 1,854.81 = 370.85 : x
  2. Step 2: Convert to fraction form
    1,236.53/1,854.81 = 370.85/x
  3. Step 3: Cross multiply
    1,236.53x = 1,854.81 × 370.85
  4. Step 4: Simplify right side
    1,236.53x = 687,845.16
  5. Step 5: Solve for x
    x = 687,845.16/1,236.53
  6. Step 6: Final answer
    x = 556.27

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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.