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Finding the Fourth Proportional to 1,276.69, 1,761.82 and 717.16

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Solution

The fourth proportional to 1,276.69, 1,761.82 and 717.16 is: 989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.69 : 1,761.82 = 717.16 : x
  2. Step 2: Convert to fraction form
    1,276.69/1,761.82 = 717.16/x
  3. Step 3: Cross multiply
    1,276.69x = 1,761.82 × 717.16
  4. Step 4: Simplify right side
    1,276.69x = 1,263,494.44
  5. Step 5: Solve for x
    x = 1,263,494.44/1,276.69
  6. Step 6: Final answer
    x = 989.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.