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Finding the Fourth Proportional to 1,172.96, 1,749.52 and 1,105.28

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Solution

The fourth proportional to 1,172.96, 1,749.52 and 1,105.28 is: 1,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.96 : 1,749.52 = 1,105.28 : x
  2. Step 2: Convert to fraction form
    1,172.96/1,749.52 = 1,105.28/x
  3. Step 3: Cross multiply
    1,172.96x = 1,749.52 × 1,105.28
  4. Step 4: Simplify right side
    1,172.96x = 1,933,709.47
  5. Step 5: Solve for x
    x = 1,933,709.47/1,172.96
  6. Step 6: Final answer
    x = 1,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.