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Finding the Fourth Proportional to 1,033.71, 1,548.60 and 513.09

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Solution

The fourth proportional to 1,033.71, 1,548.60 and 513.09 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.71 : 1,548.60 = 513.09 : x
  2. Step 2: Convert to fraction form
    1,033.71/1,548.60 = 513.09/x
  3. Step 3: Cross multiply
    1,033.71x = 1,548.60 × 513.09
  4. Step 4: Simplify right side
    1,033.71x = 794,571.17
  5. Step 5: Solve for x
    x = 794,571.17/1,033.71
  6. Step 6: Final answer
    x = 768.66

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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.