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Finding the Fourth Proportional to 1,338.71, 2,007.92 and 364.74

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Solution

The fourth proportional to 1,338.71, 2,007.92 and 364.74 is: 547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.71 : 2,007.92 = 364.74 : x
  2. Step 2: Convert to fraction form
    1,338.71/2,007.92 = 364.74/x
  3. Step 3: Cross multiply
    1,338.71x = 2,007.92 × 364.74
  4. Step 4: Simplify right side
    1,338.71x = 732,366.92
  5. Step 5: Solve for x
    x = 732,366.92/1,338.71
  6. Step 6: Final answer
    x = 547.07

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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.