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Finding the Fourth Proportional to 1,757.97, 2,637.11 and 459.44

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Solution

The fourth proportional to 1,757.97, 2,637.11 and 459.44 is: 689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.97 : 2,637.11 = 459.44 : x
  2. Step 2: Convert to fraction form
    1,757.97/2,637.11 = 459.44/x
  3. Step 3: Cross multiply
    1,757.97x = 2,637.11 × 459.44
  4. Step 4: Simplify right side
    1,757.97x = 1,211,591.52
  5. Step 5: Solve for x
    x = 1,211,591.52/1,757.97
  6. Step 6: Final answer
    x = 689.20

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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.