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Finding the Fourth Proportional to 1,321.77, 1,982.54 and 397.54

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Solution

The fourth proportional to 1,321.77, 1,982.54 and 397.54 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.77 : 1,982.54 = 397.54 : x
  2. Step 2: Convert to fraction form
    1,321.77/1,982.54 = 397.54/x
  3. Step 3: Cross multiply
    1,321.77x = 1,982.54 × 397.54
  4. Step 4: Simplify right side
    1,321.77x = 788,138.95
  5. Step 5: Solve for x
    x = 788,138.95/1,321.77
  6. Step 6: Final answer
    x = 596.28

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