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Finding the Fourth Proportional to 1,032.07, 1,548.28 and 512.09

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Solution

The fourth proportional to 1,032.07, 1,548.28 and 512.09 is: 768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.07 : 1,548.28 = 512.09 : x
  2. Step 2: Convert to fraction form
    1,032.07/1,548.28 = 512.09/x
  3. Step 3: Cross multiply
    1,032.07x = 1,548.28 × 512.09
  4. Step 4: Simplify right side
    1,032.07x = 792,863.24
  5. Step 5: Solve for x
    x = 792,863.24/1,032.07
  6. Step 6: Final answer
    x = 768.23

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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.