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Finding the Fourth Proportional to 1,324.86, 1,828.36 and 735.40

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Solution

The fourth proportional to 1,324.86, 1,828.36 and 735.40 is: 1,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.86 : 1,828.36 = 735.40 : x
  2. Step 2: Convert to fraction form
    1,324.86/1,828.36 = 735.40/x
  3. Step 3: Cross multiply
    1,324.86x = 1,828.36 × 735.40
  4. Step 4: Simplify right side
    1,324.86x = 1,344,575.94
  5. Step 5: Solve for x
    x = 1,344,575.94/1,324.86
  6. Step 6: Final answer
    x = 1,014.88

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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.