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Finding the Fourth Proportional to 1,183.12, 1,774.64 and 361.40

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Solution

The fourth proportional to 1,183.12, 1,774.64 and 361.40 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.12 : 1,774.64 = 361.40 : x
  2. Step 2: Convert to fraction form
    1,183.12/1,774.64 = 361.40/x
  3. Step 3: Cross multiply
    1,183.12x = 1,774.64 × 361.40
  4. Step 4: Simplify right side
    1,183.12x = 641,344.22
  5. Step 5: Solve for x
    x = 641,344.22/1,183.12
  6. Step 6: Final answer
    x = 542.08

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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.