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Finding the Fourth Proportional to 1,340.00, 2,008.62 and 517.95

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Solution

The fourth proportional to 1,340.00, 2,008.62 and 517.95 is: 776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.00 : 2,008.62 = 517.95 : x
  2. Step 2: Convert to fraction form
    1,340.00/2,008.62 = 517.95/x
  3. Step 3: Cross multiply
    1,340.00x = 2,008.62 × 517.95
  4. Step 4: Simplify right side
    1,340.00x = 1,040,364.73
  5. Step 5: Solve for x
    x = 1,040,364.73/1,340.00
  6. Step 6: Final answer
    x = 776.39

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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.