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Finding the Fourth Proportional to 1,321.81, 1,982.51 and 591.26

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Solution

The fourth proportional to 1,321.81, 1,982.51 and 591.26 is: 886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.81 : 1,982.51 = 591.26 : x
  2. Step 2: Convert to fraction form
    1,321.81/1,982.51 = 591.26/x
  3. Step 3: Cross multiply
    1,321.81x = 1,982.51 × 591.26
  4. Step 4: Simplify right side
    1,321.81x = 1,172,165.99
  5. Step 5: Solve for x
    x = 1,172,165.99/1,321.81
  6. Step 6: Final answer
    x = 886.79

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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.