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Finding the Fourth Proportional to 1,756.64, 2,635.83 and 717.38

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Solution

The fourth proportional to 1,756.64, 2,635.83 and 717.38 is: 1,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.64 : 2,635.83 = 717.38 : x
  2. Step 2: Convert to fraction form
    1,756.64/2,635.83 = 717.38/x
  3. Step 3: Cross multiply
    1,756.64x = 2,635.83 × 717.38
  4. Step 4: Simplify right side
    1,756.64x = 1,890,891.73
  5. Step 5: Solve for x
    x = 1,890,891.73/1,756.64
  6. Step 6: Final answer
    x = 1,076.43

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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.