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Finding the Fourth Proportional to 1,324.69, 1,828.07 and 735.31

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Solution

The fourth proportional to 1,324.69, 1,828.07 and 735.31 is: 1,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.69 : 1,828.07 = 735.31 : x
  2. Step 2: Convert to fraction form
    1,324.69/1,828.07 = 735.31/x
  3. Step 3: Cross multiply
    1,324.69x = 1,828.07 × 735.31
  4. Step 4: Simplify right side
    1,324.69x = 1,344,199.52
  5. Step 5: Solve for x
    x = 1,344,199.52/1,324.69
  6. Step 6: Final answer
    x = 1,014.73

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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.