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Finding the Fourth Proportional to 1,340.34, 2,010.82 and 518.90

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Solution

The fourth proportional to 1,340.34, 2,010.82 and 518.90 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.34 : 2,010.82 = 518.90 : x
  2. Step 2: Convert to fraction form
    1,340.34/2,010.82 = 518.90/x
  3. Step 3: Cross multiply
    1,340.34x = 2,010.82 × 518.90
  4. Step 4: Simplify right side
    1,340.34x = 1,043,414.50
  5. Step 5: Solve for x
    x = 1,043,414.50/1,340.34
  6. Step 6: Final answer
    x = 778.47

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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.