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Finding the Fourth Proportional to 1,276.48, 1,761.67 and 717.05

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Solution

The fourth proportional to 1,276.48, 1,761.67 and 717.05 is: 989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.48 : 1,761.67 = 717.05 : x
  2. Step 2: Convert to fraction form
    1,276.48/1,761.67 = 717.05/x
  3. Step 3: Cross multiply
    1,276.48x = 1,761.67 × 717.05
  4. Step 4: Simplify right side
    1,276.48x = 1,263,212.79
  5. Step 5: Solve for x
    x = 1,263,212.79/1,276.48
  6. Step 6: Final answer
    x = 989.60

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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.