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Finding the Fourth Proportional to 1,183.85, 1,776.24 and 567.84

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Solution

The fourth proportional to 1,183.85, 1,776.24 and 567.84 is: 851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.85 : 1,776.24 = 567.84 : x
  2. Step 2: Convert to fraction form
    1,183.85/1,776.24 = 567.84/x
  3. Step 3: Cross multiply
    1,183.85x = 1,776.24 × 567.84
  4. Step 4: Simplify right side
    1,183.85x = 1,008,620.12
  5. Step 5: Solve for x
    x = 1,008,620.12/1,183.85
  6. Step 6: Final answer
    x = 851.99

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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.