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Finding the Fourth Proportional to 1,089.43, 1,632.70 and 511.09

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Solution

The fourth proportional to 1,089.43, 1,632.70 and 511.09 is: 765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.43 : 1,632.70 = 511.09 : x
  2. Step 2: Convert to fraction form
    1,089.43/1,632.70 = 511.09/x
  3. Step 3: Cross multiply
    1,089.43x = 1,632.70 × 511.09
  4. Step 4: Simplify right side
    1,089.43x = 834,456.64
  5. Step 5: Solve for x
    x = 834,456.64/1,089.43
  6. Step 6: Final answer
    x = 765.96

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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.