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Finding the Fourth Proportional to 1,035.20, 1,550.75 and 513.62

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Solution

The fourth proportional to 1,035.20, 1,550.75 and 513.62 is: 769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.20 : 1,550.75 = 513.62 : x
  2. Step 2: Convert to fraction form
    1,035.20/1,550.75 = 513.62/x
  3. Step 3: Cross multiply
    1,035.20x = 1,550.75 × 513.62
  4. Step 4: Simplify right side
    1,035.20x = 796,485.89
  5. Step 5: Solve for x
    x = 796,485.89/1,035.20
  6. Step 6: Final answer
    x = 769.41

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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.