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Finding the Fourth Proportional to 1,183.84, 1,776.32 and 567.84

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Solution

The fourth proportional to 1,183.84, 1,776.32 and 567.84 is: 852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.84 : 1,776.32 = 567.84 : x
  2. Step 2: Convert to fraction form
    1,183.84/1,776.32 = 567.84/x
  3. Step 3: Cross multiply
    1,183.84x = 1,776.32 × 567.84
  4. Step 4: Simplify right side
    1,183.84x = 1,008,665.55
  5. Step 5: Solve for x
    x = 1,008,665.55/1,183.84
  6. Step 6: Final answer
    x = 852.03

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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.