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Finding the Fourth Proportional to 1,247.87, 1,722.04 and 688.39

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Solution

The fourth proportional to 1,247.87, 1,722.04 and 688.39 is: 949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.87 : 1,722.04 = 688.39 : x
  2. Step 2: Convert to fraction form
    1,247.87/1,722.04 = 688.39/x
  3. Step 3: Cross multiply
    1,247.87x = 1,722.04 × 688.39
  4. Step 4: Simplify right side
    1,247.87x = 1,185,435.55
  5. Step 5: Solve for x
    x = 1,185,435.55/1,247.87
  6. Step 6: Final answer
    x = 949.97

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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.