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Finding the Fourth Proportional to 1,760.09, 2,640.38 and 527.36

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Solution

The fourth proportional to 1,760.09, 2,640.38 and 527.36 is: 791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.09 : 2,640.38 = 527.36 : x
  2. Step 2: Convert to fraction form
    1,760.09/2,640.38 = 527.36/x
  3. Step 3: Cross multiply
    1,760.09x = 2,640.38 × 527.36
  4. Step 4: Simplify right side
    1,760.09x = 1,392,414.96
  5. Step 5: Solve for x
    x = 1,392,414.96/1,760.09
  6. Step 6: Final answer
    x = 791.11

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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.