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Finding the Fourth Proportional to 1,090.31, 1,634.02 and 511.97

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Solution

The fourth proportional to 1,090.31, 1,634.02 and 511.97 is: 767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.31 : 1,634.02 = 511.97 : x
  2. Step 2: Convert to fraction form
    1,090.31/1,634.02 = 511.97/x
  3. Step 3: Cross multiply
    1,090.31x = 1,634.02 × 511.97
  4. Step 4: Simplify right side
    1,090.31x = 836,559.77
  5. Step 5: Solve for x
    x = 836,559.77/1,090.31
  6. Step 6: Final answer
    x = 767.27

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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.