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Finding the Fourth Proportional to 1,340.80, 2,011.26 and 518.78

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Solution

The fourth proportional to 1,340.80, 2,011.26 and 518.78 is: 778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.80 : 2,011.26 = 518.78 : x
  2. Step 2: Convert to fraction form
    1,340.80/2,011.26 = 518.78/x
  3. Step 3: Cross multiply
    1,340.80x = 2,011.26 × 518.78
  4. Step 4: Simplify right side
    1,340.80x = 1,043,401.46
  5. Step 5: Solve for x
    x = 1,043,401.46/1,340.80
  6. Step 6: Final answer
    x = 778.19

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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.