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Finding the Fourth Proportional to 1,236.62, 1,854.94 and 359.14

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Solution

The fourth proportional to 1,236.62, 1,854.94 and 359.14 is: 538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.62 : 1,854.94 = 359.14 : x
  2. Step 2: Convert to fraction form
    1,236.62/1,854.94 = 359.14/x
  3. Step 3: Cross multiply
    1,236.62x = 1,854.94 × 359.14
  4. Step 4: Simplify right side
    1,236.62x = 666,183.15
  5. Step 5: Solve for x
    x = 666,183.15/1,236.62
  6. Step 6: Final answer
    x = 538.71

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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.