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Finding the Fourth Proportional to 1,321.90, 1,824.34 and 824.56

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Solution

The fourth proportional to 1,321.90, 1,824.34 and 824.56 is: 1,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.90 : 1,824.34 = 824.56 : x
  2. Step 2: Convert to fraction form
    1,321.90/1,824.34 = 824.56/x
  3. Step 3: Cross multiply
    1,321.90x = 1,824.34 × 824.56
  4. Step 4: Simplify right side
    1,321.90x = 1,504,277.79
  5. Step 5: Solve for x
    x = 1,504,277.79/1,321.90
  6. Step 6: Final answer
    x = 1,137.97

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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.