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Finding the Fourth Proportional to 1,324.79, 1,828.27 and 735.33

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Solution

The fourth proportional to 1,324.79, 1,828.27 and 735.33 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.79 : 1,828.27 = 735.33 : x
  2. Step 2: Convert to fraction form
    1,324.79/1,828.27 = 735.33/x
  3. Step 3: Cross multiply
    1,324.79x = 1,828.27 × 735.33
  4. Step 4: Simplify right side
    1,324.79x = 1,344,379.27
  5. Step 5: Solve for x
    x = 1,344,379.27/1,324.79
  6. Step 6: Final answer
    x = 1,014.78

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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.