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Finding the Fourth Proportional to 1,328.52, 1,833.53 and 996.37

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Solution

The fourth proportional to 1,328.52, 1,833.53 and 996.37 is: 1,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.52 : 1,833.53 = 996.37 : x
  2. Step 2: Convert to fraction form
    1,328.52/1,833.53 = 996.37/x
  3. Step 3: Cross multiply
    1,328.52x = 1,833.53 × 996.37
  4. Step 4: Simplify right side
    1,328.52x = 1,826,872.42
  5. Step 5: Solve for x
    x = 1,826,872.42/1,328.52
  6. Step 6: Final answer
    x = 1,375.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.