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Finding the Fourth Proportional to 1,091.96, 1,638.24 and 475.72

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Solution

The fourth proportional to 1,091.96, 1,638.24 and 475.72 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.96 : 1,638.24 = 475.72 : x
  2. Step 2: Convert to fraction form
    1,091.96/1,638.24 = 475.72/x
  3. Step 3: Cross multiply
    1,091.96x = 1,638.24 × 475.72
  4. Step 4: Simplify right side
    1,091.96x = 779,343.53
  5. Step 5: Solve for x
    x = 779,343.53/1,091.96
  6. Step 6: Final answer
    x = 713.71

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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.