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Finding the Fourth Proportional to 1,097.40, 1,644.69 and 519

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Solution

The fourth proportional to 1,097.40, 1,644.69 and 519 is: 777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,644.69 = 519 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,644.69 = 519/x
  3. Step 3: Cross multiply
    1,097.40x = 1,644.69 × 519
  4. Step 4: Simplify right side
    1,097.40x = 853,594.11
  5. Step 5: Solve for x
    x = 853,594.11/1,097.40
  6. Step 6: Final answer
    x = 777.83

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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.