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Finding the Fourth Proportional to 1,316.43, 1,974.75 and 450.75

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Solution

The fourth proportional to 1,316.43, 1,974.75 and 450.75 is: 676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.43 : 1,974.75 = 450.75 : x
  2. Step 2: Convert to fraction form
    1,316.43/1,974.75 = 450.75/x
  3. Step 3: Cross multiply
    1,316.43x = 1,974.75 × 450.75
  4. Step 4: Simplify right side
    1,316.43x = 890,118.56
  5. Step 5: Solve for x
    x = 890,118.56/1,316.43
  6. Step 6: Final answer
    x = 676.16

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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.