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Finding the Fourth Proportional to 1,295.96, 1,944.20 and 371.53

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Solution

The fourth proportional to 1,295.96, 1,944.20 and 371.53 is: 557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.96 : 1,944.20 = 371.53 : x
  2. Step 2: Convert to fraction form
    1,295.96/1,944.20 = 371.53/x
  3. Step 3: Cross multiply
    1,295.96x = 1,944.20 × 371.53
  4. Step 4: Simplify right side
    1,295.96x = 722,324.69
  5. Step 5: Solve for x
    x = 722,324.69/1,295.96
  6. Step 6: Final answer
    x = 557.37

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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.