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Finding the Fourth Proportional to 1,096.82, 1,644.46 and 511.19

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Solution

The fourth proportional to 1,096.82, 1,644.46 and 511.19 is: 766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.82 : 1,644.46 = 511.19 : x
  2. Step 2: Convert to fraction form
    1,096.82/1,644.46 = 511.19/x
  3. Step 3: Cross multiply
    1,096.82x = 1,644.46 × 511.19
  4. Step 4: Simplify right side
    1,096.82x = 840,631.51
  5. Step 5: Solve for x
    x = 840,631.51/1,096.82
  6. Step 6: Final answer
    x = 766.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.