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Finding the Fourth Proportional to 1,321.85, 1,982.75 and 397.37

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Solution

The fourth proportional to 1,321.85, 1,982.75 and 397.37 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.85 : 1,982.75 = 397.37 : x
  2. Step 2: Convert to fraction form
    1,321.85/1,982.75 = 397.37/x
  3. Step 3: Cross multiply
    1,321.85x = 1,982.75 × 397.37
  4. Step 4: Simplify right side
    1,321.85x = 787,888.34
  5. Step 5: Solve for x
    x = 787,888.34/1,321.85
  6. Step 6: Final answer
    x = 596.05

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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.