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Finding the Fourth Proportional to 1,094.45, 1,639.49 and 517.73

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Solution

The fourth proportional to 1,094.45, 1,639.49 and 517.73 is: 775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.45 : 1,639.49 = 517.73 : x
  2. Step 2: Convert to fraction form
    1,094.45/1,639.49 = 517.73/x
  3. Step 3: Cross multiply
    1,094.45x = 1,639.49 × 517.73
  4. Step 4: Simplify right side
    1,094.45x = 848,802.37
  5. Step 5: Solve for x
    x = 848,802.37/1,094.45
  6. Step 6: Final answer
    x = 775.56

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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.