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Finding the Fourth Proportional to 1,513.69, 2,269.82 and 539.56

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Solution

The fourth proportional to 1,513.69, 2,269.82 and 539.56 is: 809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.69 : 2,269.82 = 539.56 : x
  2. Step 2: Convert to fraction form
    1,513.69/2,269.82 = 539.56/x
  3. Step 3: Cross multiply
    1,513.69x = 2,269.82 × 539.56
  4. Step 4: Simplify right side
    1,513.69x = 1,224,708.27
  5. Step 5: Solve for x
    x = 1,224,708.27/1,513.69
  6. Step 6: Final answer
    x = 809.09

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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.