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Finding the Fourth Proportional to 1,183.70, 1,774.14 and 452.57

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Solution

The fourth proportional to 1,183.70, 1,774.14 and 452.57 is: 678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.70 : 1,774.14 = 452.57 : x
  2. Step 2: Convert to fraction form
    1,183.70/1,774.14 = 452.57/x
  3. Step 3: Cross multiply
    1,183.70x = 1,774.14 × 452.57
  4. Step 4: Simplify right side
    1,183.70x = 802,922.54
  5. Step 5: Solve for x
    x = 802,922.54/1,183.70
  6. Step 6: Final answer
    x = 678.32

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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.