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Finding the Fourth Proportional to 1,247.57, 1,872.72 and 517.66

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Solution

The fourth proportional to 1,247.57, 1,872.72 and 517.66 is: 777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.57 : 1,872.72 = 517.66 : x
  2. Step 2: Convert to fraction form
    1,247.57/1,872.72 = 517.66/x
  3. Step 3: Cross multiply
    1,247.57x = 1,872.72 × 517.66
  4. Step 4: Simplify right side
    1,247.57x = 969,422.87
  5. Step 5: Solve for x
    x = 969,422.87/1,247.57
  6. Step 6: Final answer
    x = 777.05

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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.