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Finding the Fourth Proportional to 1,183.23, 1,774.01 and 452.19

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Solution

The fourth proportional to 1,183.23, 1,774.01 and 452.19 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.23 : 1,774.01 = 452.19 : x
  2. Step 2: Convert to fraction form
    1,183.23/1,774.01 = 452.19/x
  3. Step 3: Cross multiply
    1,183.23x = 1,774.01 × 452.19
  4. Step 4: Simplify right side
    1,183.23x = 802,187.32
  5. Step 5: Solve for x
    x = 802,187.32/1,183.23
  6. Step 6: Final answer
    x = 677.96

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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.