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Finding the Fourth Proportional to 1,338.59, 2,007.73 and 364.61

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Solution

The fourth proportional to 1,338.59, 2,007.73 and 364.61 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.59 : 2,007.73 = 364.61 : x
  2. Step 2: Convert to fraction form
    1,338.59/2,007.73 = 364.61/x
  3. Step 3: Cross multiply
    1,338.59x = 2,007.73 × 364.61
  4. Step 4: Simplify right side
    1,338.59x = 732,038.44
  5. Step 5: Solve for x
    x = 732,038.44/1,338.59
  6. Step 6: Final answer
    x = 546.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.