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Finding the Fourth Proportional to 1,340.71, 2,011.32 and 518.91

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Solution

The fourth proportional to 1,340.71, 2,011.32 and 518.91 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.71 : 2,011.32 = 518.91 : x
  2. Step 2: Convert to fraction form
    1,340.71/2,011.32 = 518.91/x
  3. Step 3: Cross multiply
    1,340.71x = 2,011.32 × 518.91
  4. Step 4: Simplify right side
    1,340.71x = 1,043,694.06
  5. Step 5: Solve for x
    x = 1,043,694.06/1,340.71
  6. Step 6: Final answer
    x = 778.46

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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.