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Finding the Fourth Proportional to 1,096.77, 1,644.62 and 511.64

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Solution

The fourth proportional to 1,096.77, 1,644.62 and 511.64 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.77 : 1,644.62 = 511.64 : x
  2. Step 2: Convert to fraction form
    1,096.77/1,644.62 = 511.64/x
  3. Step 3: Cross multiply
    1,096.77x = 1,644.62 × 511.64
  4. Step 4: Simplify right side
    1,096.77x = 841,446.43
  5. Step 5: Solve for x
    x = 841,446.43/1,096.77
  6. Step 6: Final answer
    x = 767.20

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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.