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Finding the Fourth Proportional to 1,168.72, 1,753.38 and 475.78

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Solution

The fourth proportional to 1,168.72, 1,753.38 and 475.78 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.72 : 1,753.38 = 475.78 : x
  2. Step 2: Convert to fraction form
    1,168.72/1,753.38 = 475.78/x
  3. Step 3: Cross multiply
    1,168.72x = 1,753.38 × 475.78
  4. Step 4: Simplify right side
    1,168.72x = 834,223.14
  5. Step 5: Solve for x
    x = 834,223.14/1,168.72
  6. Step 6: Final answer
    x = 713.79

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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.