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Finding the Fourth Proportional to 1,276.70, 1,761.80 and 717.17

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Solution

The fourth proportional to 1,276.70, 1,761.80 and 717.17 is: 989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.70 : 1,761.80 = 717.17 : x
  2. Step 2: Convert to fraction form
    1,276.70/1,761.80 = 717.17/x
  3. Step 3: Cross multiply
    1,276.70x = 1,761.80 × 717.17
  4. Step 4: Simplify right side
    1,276.70x = 1,263,497.71
  5. Step 5: Solve for x
    x = 1,263,497.71/1,276.70
  6. Step 6: Final answer
    x = 989.66

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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.