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Finding the Fourth Proportional to 1,338.42, 2,007.57 and 364.56

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Solution

The fourth proportional to 1,338.42, 2,007.57 and 364.56 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.42 : 2,007.57 = 364.56 : x
  2. Step 2: Convert to fraction form
    1,338.42/2,007.57 = 364.56/x
  3. Step 3: Cross multiply
    1,338.42x = 2,007.57 × 364.56
  4. Step 4: Simplify right side
    1,338.42x = 731,879.72
  5. Step 5: Solve for x
    x = 731,879.72/1,338.42
  6. Step 6: Final answer
    x = 546.82

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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.