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Finding the Fourth Proportional to 1,322.75, 1,984.40 and 445.14

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Solution

The fourth proportional to 1,322.75, 1,984.40 and 445.14 is: 667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.75 : 1,984.40 = 445.14 : x
  2. Step 2: Convert to fraction form
    1,322.75/1,984.40 = 445.14/x
  3. Step 3: Cross multiply
    1,322.75x = 1,984.40 × 445.14
  4. Step 4: Simplify right side
    1,322.75x = 883,333.59
  5. Step 5: Solve for x
    x = 883,333.59/1,322.75
  6. Step 6: Final answer
    x = 667.80

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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.