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Finding the Fourth Proportional to 1,183.62, 1,775.49 and 454.08

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Solution

The fourth proportional to 1,183.62, 1,775.49 and 454.08 is: 681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.62 : 1,775.49 = 454.08 : x
  2. Step 2: Convert to fraction form
    1,183.62/1,775.49 = 454.08/x
  3. Step 3: Cross multiply
    1,183.62x = 1,775.49 × 454.08
  4. Step 4: Simplify right side
    1,183.62x = 806,214.50
  5. Step 5: Solve for x
    x = 806,214.50/1,183.62
  6. Step 6: Final answer
    x = 681.14

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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.