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Finding the Fourth Proportional to 1,513.32, 2,269.97 and 539.43

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Solution

The fourth proportional to 1,513.32, 2,269.97 and 539.43 is: 809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.32 : 2,269.97 = 539.43 : x
  2. Step 2: Convert to fraction form
    1,513.32/2,269.97 = 539.43/x
  3. Step 3: Cross multiply
    1,513.32x = 2,269.97 × 539.43
  4. Step 4: Simplify right side
    1,513.32x = 1,224,487.22
  5. Step 5: Solve for x
    x = 1,224,487.22/1,513.32
  6. Step 6: Final answer
    x = 809.14

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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.