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Finding the Fourth Proportional to 1,321.94, 1,983.02 and 397.43

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Solution

The fourth proportional to 1,321.94, 1,983.02 and 397.43 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.94 : 1,983.02 = 397.43 : x
  2. Step 2: Convert to fraction form
    1,321.94/1,983.02 = 397.43/x
  3. Step 3: Cross multiply
    1,321.94x = 1,983.02 × 397.43
  4. Step 4: Simplify right side
    1,321.94x = 788,111.64
  5. Step 5: Solve for x
    x = 788,111.64/1,321.94
  6. Step 6: Final answer
    x = 596.18

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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.