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Finding the Fourth Proportional to 1,093.24, 1,638.42 and 703.09

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Solution

The fourth proportional to 1,093.24, 1,638.42 and 703.09 is: 1,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.24 : 1,638.42 = 703.09 : x
  2. Step 2: Convert to fraction form
    1,093.24/1,638.42 = 703.09/x
  3. Step 3: Cross multiply
    1,093.24x = 1,638.42 × 703.09
  4. Step 4: Simplify right side
    1,093.24x = 1,151,956.72
  5. Step 5: Solve for x
    x = 1,151,956.72/1,093.24
  6. Step 6: Final answer
    x = 1,053.71

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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.