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Finding the Fourth Proportional to 1,322.09, 1,982.21 and 581.34

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Solution

The fourth proportional to 1,322.09, 1,982.21 and 581.34 is: 871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.09 : 1,982.21 = 581.34 : x
  2. Step 2: Convert to fraction form
    1,322.09/1,982.21 = 581.34/x
  3. Step 3: Cross multiply
    1,322.09x = 1,982.21 × 581.34
  4. Step 4: Simplify right side
    1,322.09x = 1,152,335.05
  5. Step 5: Solve for x
    x = 1,152,335.05/1,322.09
  6. Step 6: Final answer
    x = 871.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.