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Finding the Fourth Proportional to 1,039.74, 1,559.19 and 519.54

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Solution

The fourth proportional to 1,039.74, 1,559.19 and 519.54 is: 779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.74 : 1,559.19 = 519.54 : x
  2. Step 2: Convert to fraction form
    1,039.74/1,559.19 = 519.54/x
  3. Step 3: Cross multiply
    1,039.74x = 1,559.19 × 519.54
  4. Step 4: Simplify right side
    1,039.74x = 810,061.57
  5. Step 5: Solve for x
    x = 810,061.57/1,039.74
  6. Step 6: Final answer
    x = 779.10

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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.